pith. sign in

arxiv: 2510.14926 · v2 · pith:TFXUOJXUnew · submitted 2025-10-16 · 🪐 quant-ph

Current fluctuations in nonequilibrium open quantum systems beyond weak coupling: a reaction coordinate approach

Khalak Mahadeviya , Saulo V. Moreira , Sheikh Parvez Mandal , Mahasweta Pandit , Javier Prior , Mark T. Mitchison This is my paper

Pith reviewed 2026-05-21 19:48 UTC · model grok-4.3

classification 🪐 quant-ph
keywords current fluctuationsstrong couplingreaction coordinate mappingopen quantum systemsfull counting statisticsthermodynamic uncertainty boundquantum coherencebosonic environment
0
0 comments X

The pith

Strong coupling to a structured bosonic environment makes both average current and its fluctuations nonmonotonic in a driven qubit, allowing noise to fall below the classical thermodynamic uncertainty bound.

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

This paper studies current fluctuations in a driven qubit that is strongly coupled to a structured bosonic bath, moving past the weak-coupling limit. Using a reaction coordinate mapping together with full counting statistics, the authors compute the steady-state current and its fluctuations along with their time correlations. They discover that both the average current and the noise level vary nonmonotonically with the coupling strength, unlike the monotonic behavior seen in weak coupling. In one regime the noise drops below what the classical thermodynamic uncertainty relation permits, and this happens together with stronger anticorrelations between successive quantum jumps and quicker relaxation of the qubit state. These effects are connected to the reaction coordinate mode displaying quantum coherence and non-Gaussian statistics.

Core claim

For a coherently driven qubit strongly coupled to a structured bosonic environment, the steady-state current and its fluctuations display a nonmonotonic dependence on the system-environment interaction strength. A regime exists in which the current noise is reduced below the classical thermodynamic uncertainty bound. This suppression coincides with increased anticorrelations in the quantum jump trajectories and accelerated system relaxation. The observed features arise from nonclassical properties of the reaction coordinate mode, specifically its non-Gaussian character and quantum coherence.

What carries the argument

The reaction coordinate mapping combined with full counting statistics, which reduces the structured environment to an effective mode plus residual bath so that strong-coupling current statistics can be computed exactly.

If this is right

  • Both average current and current noise vary nonmonotonically with system-environment coupling strength.
  • Current noise can be suppressed below the classical thermodynamic uncertainty bound at intermediate coupling strengths.
  • Quantum jump trajectories exhibit enhanced anticorrelations precisely where noise is suppressed.
  • System relaxation becomes faster in the same coupling regime.
  • Non-Gaussianity and quantum coherence of the reaction coordinate mode produce these transport features.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • Device designers could tune into strong-coupling regimes to achieve lower current noise than classical limits allow.
  • The same noise suppression might appear in multi-qubit systems or fermionic environments with structured baths.
  • Measuring full counting statistics in circuit QED setups with engineered spectral densities would test the predicted dip below the bound.
  • Extending the mapping to time-dependent driving could uncover additional ways to control fluctuations.

Load-bearing premise

The reaction coordinate mapping combined with full counting statistics accurately captures the steady-state current fluctuations, temporal correlations, and nonclassical features of the reaction coordinate mode for the chosen structured bosonic environment in the strong-coupling regime.

What would settle it

An experiment that measures current noise versus coupling strength in a driven qubit coupled to a bosonic bath with a peaked spectral density, checking for a dip below the classical bound at intermediate coupling values.

Figures

Figures reproduced from arXiv: 2510.14926 by Javier Prior, Khalak Mahadeviya, Mahasweta Pandit, Mark T. Mitchison, Saulo V. Moreira, Sheikh Parvez Mandal.

Figure 1
Figure 1. Figure 1: FIG. 1. Reaction coordinate (RC) mapping for a coherently [PITH_FULL_IMAGE:figures/full_fig_p002_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2. Drude-Lorentz spectral density with central fre [PITH_FULL_IMAGE:figures/full_fig_p003_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: FIG. 3. (a) Average excitation current [PITH_FULL_IMAGE:figures/full_fig_p007_3.png] view at source ↗
Figure 6
Figure 6. Figure 6: FIG. 6. Real part of the first three nonzero Liouvillian eigen [PITH_FULL_IMAGE:figures/full_fig_p008_6.png] view at source ↗
Figure 7
Figure 7. Figure 7: FIG. 7. Comparison of the behavior of the TUR ratio [PITH_FULL_IMAGE:figures/full_fig_p009_7.png] view at source ↗
read the original abstract

We investigate current fluctuations in open quantum systems beyond the weak-coupling and Markovian regimes, focusing on a coherently driven qubit strongly coupled to a structured bosonic environment. By combining full counting statistics with the reaction coordinate mapping, we develop a framework that enables the calculation of steady-state current fluctuations and their temporal correlations in the strong-coupling regime. Our analysis reveals that, unlike in weak coupling, both the average current and its fluctuations exhibit nonmonotonic dependence on the system-environment interaction strength. Notably, we identify a regime where current noise is suppressed below the classical thermodynamic uncertainty bound, coinciding with enhanced anticorrelations in quantum jump trajectories and faster system relaxation. We further show that these features are linked to nonclassical properties of the reaction coordinate mode, such as non-Gaussianity and quantum coherence. Our results provide new insights and design principles for controlling current fluctuations in quantum devices operating beyond the standard weak-coupling paradigm.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

2 major / 2 minor

Summary. The manuscript develops a reaction-coordinate (RC) mapping combined with full counting statistics (FCS) to compute steady-state current and its fluctuations for a coherently driven qubit strongly coupled to a structured bosonic bath. It reports non-monotonic dependence of both average current and noise on the system-bath coupling strength, and identifies a regime in which the noise falls below the classical thermodynamic uncertainty relation (TUR) bound. This suppression is attributed to non-Gaussianity and coherence in the RC mode, accompanied by enhanced anticorrelations in quantum jump trajectories and faster system relaxation.

Significance. If the numerical evidence is robust, the work fills a gap in the study of transport fluctuations beyond weak coupling and Markovian regimes, with potential implications for controlling noise in quantum devices. The extension of the RC technique to FCS observables is a natural and useful step, and the reported link between TUR violation and nonclassical RC properties would be noteworthy. The manuscript does not appear to contain machine-checked proofs or parameter-free derivations, but the numerical framework itself is a strength if the underlying approximations are validated.

major comments (2)
  1. [RC mapping and FCS implementation (likely §II–III)] The central claim that current noise can fall below the classical TUR bound due to nonclassical RC features rests on the accuracy of the RC+FCS master equation for both steady-state cumulants and two-time jump correlations. The skeptic note correctly identifies that the residual bath is treated perturbatively (Lindblad/Redfield) after the RC mapping; however, no explicit benchmark is provided showing that residual non-Markovianity or higher-order system-residual correlations remain negligible precisely in the coupling window where noise suppression and enhanced anticorrelations are reported. A direct comparison with an exact method (e.g., hierarchical equations of motion or tensor-network simulation) for at least one point in that regime would be required to substantiate the claim.
  2. [Results and discussion of RC properties (likely §IV)] The nonmonotonic dependence and TUR violation are stated to coincide with faster relaxation and non-Gaussianity of the RC mode. It is unclear whether these features survive when the RC frequency or the cutoff of the residual spectral density is varied; a systematic convergence check with respect to these mapping parameters is needed to confirm that the reported effects are not sensitive to the particular choice of RC frequency.
minor comments (2)
  1. [Throughout] Notation for the counting field and the cumulant-generating function should be introduced once and used consistently; occasional switches between different symbols for the same quantity reduce readability.
  2. [Figure captions] Figure captions would benefit from explicit listing of all fixed parameters (driving strength, temperature, RC frequency, etc.) so that each panel can be reproduced without cross-referencing the main text.

Simulated Author's Rebuttal

2 responses · 1 unresolved

We thank the referee for the careful reading and constructive comments on our manuscript. The suggestions for additional validation are helpful, and we address each major comment below. We will revise the manuscript to incorporate further checks where feasible.

read point-by-point responses

  1. Referee: The central claim that current noise can fall below the classical TUR bound due to nonclassical RC features rests on the accuracy of the RC+FCS master equation for both steady-state cumulants and two-time jump correlations. The residual bath is treated perturbatively after the RC mapping; however, no explicit benchmark is provided showing that residual non-Markovianity or higher-order system-residual correlations remain negligible precisely in the coupling window where noise suppression and enhanced anticorrelations are reported. A direct comparison with an exact method (e.g., hierarchical equations of motion or tensor-network simulation) for at least one point in that regime would be required to substantiate the claim.

    Authors: We acknowledge the value of an explicit benchmark against exact methods such as HEOM for validating the RC+FCS approach in the relevant regime. The RC mapping is constructed to render the residual bath weakly coupled, and the perturbative treatment follows standard practice validated in prior RC literature for average observables. A full HEOM implementation including FCS and two-time correlations is computationally prohibitive for the driven system at strong coupling. In the revision we will add a dedicated discussion of the approximation's expected accuracy, error estimates based on residual coupling strength, and references to existing RC benchmarks for related quantities. This addresses the concern without changing the core results. revision: partial

  2. Referee: The nonmonotonic dependence and TUR violation are stated to coincide with faster relaxation and non-Gaussianity of the RC mode. It is unclear whether these features survive when the RC frequency or the cutoff of the residual spectral density is varied; a systematic convergence check with respect to these mapping parameters is needed to confirm that the reported effects are not sensitive to the particular choice of RC frequency.

    Authors: We agree that robustness to the choice of RC mapping parameters must be demonstrated. The RC frequency in the manuscript was chosen according to the standard criterion that minimizes the residual spectral density at the system frequency. In the revised version we will include a systematic convergence study varying both the RC frequency and the cutoff of the residual bath, showing that the nonmonotonic current and noise behavior, the TUR violation, the enhanced anticorrelations, and the non-Gaussianity/coherence signatures of the RC mode persist over a range of physically reasonable mapping parameters. This will confirm that the reported physics is not an artifact of a specific parameter choice. revision: yes

standing simulated objections not resolved
  • A direct numerical benchmark against HEOM or tensor-network methods for the current fluctuations and two-time jump correlations in the strong-coupling regime of interest remains computationally infeasible within the scope of this study.

Circularity Check

0 steps flagged

No significant circularity; established RC mapping applied to new observables

full rationale

The paper applies the reaction coordinate mapping—an established technique that replaces a structured bosonic bath with a single RC mode plus a residual bath treated via a perturbative master equation—combined with full counting statistics to compute steady-state current cumulants and two-time jump correlations. The nonmonotonic dependence of average current and noise on system-environment coupling strength, the reported suppression below the classical TUR bound, and the links to RC non-Gaussianity and coherence are obtained by solving the resulting equations for the driven qubit model; these quantities are not inputs to the mapping nor fitted parameters renamed as predictions. No derivation step reduces by construction to its own outputs, and the framework is self-contained against the external benchmark of the standard RC transformation rather than relying on a self-citation chain for its central claims.

Axiom & Free-Parameter Ledger

0 free parameters · 1 axioms · 0 invented entities

The central claims rest on the accuracy of the reaction coordinate mapping for the structured environment and on the validity of combining it with full counting statistics for steady-state observables.

axioms (1)
  • domain assumption The reaction coordinate mapping accurately represents the non-Markovian dynamics and structured spectral density of the bosonic environment in the strong-coupling regime.
    Invoked to justify the reduction of the environment to a single effective mode plus residual bath.

pith-pipeline@v0.9.0 · 5708 in / 1371 out tokens · 73603 ms · 2026-05-21T19:48:09.485645+00:00 · methodology

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Lean theorems connected to this paper

Citations machine-checked in the Pith Canon. Every link opens the source theorem in the public Lean library.

What do these tags mean?
matches
The paper's claim is directly supported by a theorem in the formal canon.
supports
The theorem supports part of the paper's argument, but the paper may add assumptions or extra steps.
extends
The paper goes beyond the formal theorem; the theorem is a base layer rather than the whole result.
uses
The paper appears to rely on the theorem as machinery.
contradicts
The paper's claim conflicts with a theorem or certificate in the canon.
unclear
Pith found a possible connection, but the passage is too broad, indirect, or ambiguous to say the theorem truly supports the claim.

Reference graph

Works this paper leans on

93 extracted references · 93 canonical work pages

  1. [1]

    (13), we are interested in studying the steady-state excitation current into a strongly coupled environment

    Excitation current into the original bath Given the RC-LME in Eq. (13), we are interested in studying the steady-state excitation current into a strongly coupled environment. To compute the first and second cumulants of this excitation current we employ the method of full counting statistics (FCS) [2]. Starting from the original description, note that un-...

    work page

  2. [2]

    Excitation current into the residual bath Similarly, we can derive another GME with a counting fieldχ′that accounts for the excitation exchange between the extended system and the residual bath. This can be achieved by following the same two-point measure- ment protocol as described above, but now in the mea- surement basis of the residual bath excitation...

    work page

  3. [3]

    Equivalence of the two excitation currents Using the framework described above, we are now in a position to show that, in the long time limit,the statis- tics of the net excitationsN B exchanged between the sys- tem and original bath is identical to the statistics of net excitationsN B′ exchanged between the RC and the resid- ual environment. To formalise...

    work page

  4. [4]

    Should an excited 3 + state in 22Al lie below the proton separation energyS p = 100.3(8) keV, it remains a candidate for extended structure

    Current fluctuations and correlations Finally, we can now define the average excitation cur- rent and diffusion coefficient in terms of the first and sec- ond scaled cumulants of the net excitation transferN(t) in the long-time limit, J=lim t→∞ d dtE[N(t)], D=lim t→∞ d dtVar[N(t)],(31) where E[●]denotes the expectation value (first cumulant) and Var[●]den...

    work page doi:10.13039/501100011033 2020

  5. [5]

    Esposito, U

    M. Esposito, U. Harbola, and S. Mukamel, Nonequilib- rium fluctuations, fluctuation theorems, and counting statistics in quantum systems, Rev. Mod. Phys.81, 1665 (2009)

    work page 2009

  6. [6]

    G. T. Landi, M. J. Kewming, M. T. Mitchison, and P. P. Potts, Current fluctuations in open quantum sys- tems: Bridging the gap between quantum continuous measurements and full counting statistics, PRX Quan- tum5, 020201 (2024)

    work page 2024

  7. [7]

    Shiraishi, K

    N. Shiraishi, K. Saito, and H. Tasaki, Universal trade-off relation between power and efficiency for heat engines, Phys. Rev. Lett.117, 190601 (2016)

    work page 2016

  8. [8]

    Pietzonka and U

    P. Pietzonka and U. Seifert, Universal trade-off between power, efficiency, and constancy in steady-state heat en- gines, Phys. Rev. Lett.120, 190602 (2018)

    work page 2018

  9. [9]

    Tsang, Quantum metrology with open dynamical sys- tems, New Journal of Physics15, 073005 (2013)

    M. Tsang, Quantum metrology with open dynamical sys- tems, New Journal of Physics15, 073005 (2013)

    work page 2013

  10. [10]

    Gammelmark and K

    S. Gammelmark and K. Mølmer, Bayesian parameter in- ference from continuously monitored quantum systems, Phys. Rev. A87, 032115 (2013)

    work page 2013

  11. [11]

    A. H. Kiilerich and K. Mølmer, Estimation of atomic interaction parameters by photon counting, Phys. Rev. A89, 052110 (2014)

    work page 2014

  12. [12]

    Macieszczak, M

    K. Macieszczak, M. Gut ¸˘ a, I. Lesanovsky, and J. P. Gar- rahan, Dynamical phase transitions as a resource for quantum enhanced metrology, Phys. Rev. A93, 022103 (2016)

    work page 2016

  13. [13]

    Albarelli, M

    F. Albarelli, M. A. C. Rossi, D. Tamascelli, and M. G. Genoni, Restoring Heisenberg scaling in noisy quantum metrology by monitoring the environment, Quantum2, 110 (2018)

    work page 2018

  14. [14]

    D. Yang, S. F. Huelga, and M. B. Plenio, Efficient In- formation Retrieval for Sensing via Continuous Measure- ment, Phys. Rev. X13, 031012 (2023)

    work page 2023

  15. [15]

    Cabot, F

    A. Cabot, F. Carollo, and I. Lesanovsky, Continuous sensing and parameter estimation with the boundary time crystal, Phys. Rev. Lett.132, 050801 (2024)

    work page 2024

  16. [16]

    Prech, G

    K. Prech, G. T. Landi, F. Meier, N. Nurgalieva, P. P. Potts, R. Silva, and M. T. Mitchison, Optimal time esti- mation and the clock uncertainty relation for stochas- tic processes (2024), arXiv:2406.19450 [cond-mat.stat- mech]

    work page arXiv 2024

  17. [17]

    Khandelwal, G

    S. Khandelwal, G. T. Landi, G. Haack, and M. T. Mitchi- son, Current-based metrology with two-terminal meso- scopic conductors (2025), arXiv:2507.12907 [quant-ph]

    work page arXiv 2025

  18. [18]

    Mihailescu, A

    G. Mihailescu, A. Kiely, and A. K. Mitchell, Quantum Sensing with Nanoelectronics: Fisher Information for an Applied Perturbation (2025), arXiv:2406.18662 [quant- ph]

    work page arXiv 2025

  19. [19]

    Glidic, O

    P. Glidic, O. Maillet, A. Aassime, C. Piquard, A. Ca- vanna, U. Gennser, Y. Jin, A. Anthore, and F. Pierre, Cross-correlation investigation of anyon statistics in the ν=1/3 and 2/5 fractional quantum hall states, Phys. Rev. X13, 011030 (2023)

    work page 2023

  20. [20]

    Ruelle, E

    M. Ruelle, E. Frigerio, J.-M. Berroir, B. Pla¸ cais, J. Rech, A. Cavanna, U. Gennser, Y. Jin, and G. F` eve, Compar- ing fractional quantum hall laughlin and jain topological orders with the anyon collider, Phys. Rev. X13, 011031 (2023)

    work page 2023

  21. [21]

    K. Iyer, F. Ronetti, B. Gr´ emaud, T. Martin, J. Rech, and T. Jonckheere, Finite width of anyons changes their braiding signature, Phys. Rev. Lett.132, 216601 (2024)

    work page 2024

  22. [22]

    M. J. Kewming, M. T. Mitchison, and G. T. Landi, Di- verging current fluctuations in critical Kerr resonators, Phys. Rev. A106, 033707 (2022)

    work page 2022

  23. [23]

    Matsumoto, Z

    M. Matsumoto, Z. Cai, and M. Baggioli, Dissipative quantum phase transitions monitored by current fluctu- ations, Phys. Rev. A112, 012226 (2025)

    work page 2025

  24. [24]

    A. C. Barato and U. Seifert, Thermodynamic Uncer- tainty Relation for Biomolecular Processes, Physical Re- view Letters114, 158101 (2015), publisher: American Physical Society

    work page 2015

  25. [25]

    T. R. Gingrich, J. M. Horowitz, N. Perunov, and J. L. England, Dissipation Bounds All Steady-State Cur- rent Fluctuations, Physical Review Letters116, 120601 (2016)

    work page 2016

  26. [26]

    J. M. Horowitz and T. R. Gingrich, Thermodynamic uncertainty relations constrain non-equilibrium fluctua- tions, Nature Physics16, 15 (2020)

    work page 2020

  27. [27]

    J. P. Garrahan, Simple bounds on fluctuations and un- certainty relations for first-passage times of counting ob- servables, Phys. Rev. E95, 032134 (2017)

    work page 2017

  28. [28]

    Di Terlizzi and M

    I. Di Terlizzi and M. Baiesi, Kinetic uncertainty relation, Journal of Physics A: Mathematical and Theoretical52, 02LT03 (2018)

    work page 2018

  29. [29]

    Ptaszy´ nski, Coherence-enhanced constancy of a quan- tum thermoelectric generator, Phys

    K. Ptaszy´ nski, Coherence-enhanced constancy of a quan- tum thermoelectric generator, Phys. Rev. B98, 085425 (2018)

    work page 2018

  30. [30]

    Brandner, T

    K. Brandner, T. Hanazato, and K. Saito, Thermody- namic Bounds on Precision in Ballistic Multiterminal Transport, Physical Review Letters120, 090601 (2018)

    work page 2018

  31. [31]

    Macieszczak, K

    K. Macieszczak, K. Brandner, and J. P. Garrahan, Uni- fied thermodynamic uncertainty relations in linear re- sponse, Phys. Rev. Lett.121, 130601 (2018)

    work page 2018

  32. [32]

    B. K. Agarwalla and D. Segal, Assessing the validity of the thermodynamic uncertainty relation in quantum sys- tems, Phys. Rev. B98, 155438 (2018)

    work page 2018

  33. [33]

    A. A. S. Kalaee, A. Wacker, and P. P. Potts, Violating the thermodynamic uncertainty relation in the three-level maser, Phys. Rev. E104, L012103 (2021)

    work page 2021

  34. [34]

    Rignon-Bret, G

    A. Rignon-Bret, G. Guarnieri, J. Goold, and M. T. Mitchison, Thermodynamics of precision in quantum nanomachines, Phys. Rev. E103, 012133 (2021)

    work page 2021

  35. [35]

    Prech, P

    K. Prech, P. Johansson, E. Nyholm, G. T. Landi, C. Ver- dozzi, P. Samuelsson, and P. P. Potts, Entanglement and thermokinetic uncertainty relations in coherent meso- scopic transport, Phys. Rev. Res.5, 023155 (2023)

    work page 2023

  36. [36]

    Guarnieri, G

    G. Guarnieri, G. T. Landi, S. R. Clark, and J. Goold, Thermodynamics of precision in quantum nonequilib- rium steady states, Phys. Rev. Res.1, 033021 (2019)

    work page 2019

  37. [37]

    Hasegawa, Quantum thermodynamic uncertainty re- lation for continuous measurement, Phys

    Y. Hasegawa, Quantum thermodynamic uncertainty re- lation for continuous measurement, Phys. Rev. Lett.125, 050601 (2020)

    work page 2020

  38. [38]

    Hasegawa, Thermodynamic Uncertainty Relation for General Open Quantum Systems, Physical Review Let- ters126, 010602 (2021)

    Y. Hasegawa, Thermodynamic Uncertainty Relation for General Open Quantum Systems, Physical Review Let- ters126, 010602 (2021)

    work page 2021

  39. [39]

    Hasegawa, Unifying speed limit, thermodynamic un- certainty relation and Heisenberg principle via bulk- boundary correspondence, Nature Communications14, 2828 (2023)

    Y. Hasegawa, Unifying speed limit, thermodynamic un- certainty relation and Heisenberg principle via bulk- boundary correspondence, Nature Communications14, 2828 (2023)

    work page 2023

  40. [40]

    Van Vu and K

    T. Van Vu and K. Saito, Thermodynamics of precision in markovian open quantum dynamics, Phys. Rev. Lett. 13 128, 140602 (2022)

    work page 2022

  41. [41]

    A. M. Timpanaro, G. Guarnieri, and G. T. Landi, Hy- peraccurate thermoelectric currents, Phys. Rev. B107, 115432 (2023)

    work page 2023

  42. [42]

    Prech, P

    K. Prech, P. P. Potts, and G. T. Landi, Role of quantum coherence in kinetic uncertainty relations, Phys. Rev. Lett.134, 020401 (2025)

    work page 2025

  43. [43]

    Macieszczak, Ultimate Kinetic Uncertainty Relation and Optimal Performance of Stochastic Clocks (2024), arXiv:2407.09839 [cond-mat]

    K. Macieszczak, Ultimate Kinetic Uncertainty Relation and Optimal Performance of Stochastic Clocks (2024), arXiv:2407.09839 [cond-mat]

    work page arXiv 2024

  44. [44]

    S. V. Moreira, M. Radaelli, A. Candeloro, F. C. Binder, and M. T. Mitchison, Precision bounds for multiple cur- rents in open quantum systems, Phys. Rev. E111, 064107 (2025)

    work page 2025

  45. [45]

    Brandner and K

    K. Brandner and K. Saito, Thermodynamic uncertainty relations for coherent transport, Phys. Rev. Lett.135, 046302 (2025)

    work page 2025

  46. [46]

    Blasi, R

    G. Blasi, R. R. Rodr´ ıguez, M. Moskalets, R. L´ opez, and G. Haack, Quantum Kinetic Uncertainty Relations in Mesoscopic Conductors at Strong Coupling (2025), arXiv:2505.13200 [cond-mat]

    work page arXiv 2025

  47. [47]

    Palmqvist, L

    D. Palmqvist, L. Tesser, and J. Splettstoesser, Ki- netic uncertainty relations for quantum transport (2025), arXiv:2410.10793 [cond-mat]

    work page arXiv 2025

  48. [48]

    Liu and D

    J. Liu and D. Segal, Thermodynamic uncertainty relation in quantum thermoelectric junctions, Phys. Rev. E99, 062141 (2019)

    work page 2019

  49. [49]

    A. M. Timpanaro, G. Guarnieri, and G. T. Landi, Quan- tum thermoelectric transmission functions with minimal current fluctuations, Phys. Rev. B111, 014301 (2025)

    work page 2025

  50. [50]

    J. A. Almanza-Marrero and G. Manzano, Certify- ing quantum enhancements in thermal machines be- yond the Thermodynamic Uncertainty Relation (2025), arXiv:2403.19280 [quant-ph]

    work page arXiv 2025

  51. [51]

    Meier, Y

    F. Meier, Y. Minoguchi, S. Sundelin, T. J. G. Apollaro, P. Erker, S. Gasparinetti, and M. Huber, Precision is not limited by the second law of thermodynamics, Nature Physics21, 1147 (2025)

    work page 2025

  52. [52]

    J.-S. Wang, B. K. Agarwalla, H. Li, and J. Thingna, Nonequilibrium Green’s function method for quantum thermal transport, Frontiers of Physics9, 673 (2014)

    work page 2014

  53. [53]

    Popovic, M

    M. Popovic, M. T. Mitchison, A. Strathearn, B. W. Lovett, J. Goold, and P. R. Eastham, Quantum heat statistics with time-evolving matrix product operators, PRX Quantum2, 020338 (2021)

    work page 2021

  54. [54]

    S. P. Mandal, M. Pandit, K. Mahadeviya, M. T. Mitchi- son, and J. Prior, Heat operator approach to quantum stochastic thermodynamics in the strong-coupling regime (2025), arXiv:2504.10631 [quant-ph]

    work page arXiv 2025

  55. [55]

    Brenes, G

    M. Brenes, G. Guarnieri, A. Purkayastha, J. Eisert, D. Segal, and G. Landi, Particle current statistics in driven mesoscale conductors, Phys. Rev. B108, L081119 (2023)

    work page 2023

  56. [56]

    L. P. Bettmann, M. J. Kewming, G. T. Landi, J. Goold, and M. T. Mitchison, Quantum stochastic thermodynam- ics in the mesoscopic-leads formulation, Phys. Rev. E 112, 014105 (2025)

    work page 2025

  57. [57]

    Iles-Smith, N

    J. Iles-Smith, N. Lambert, and A. Nazir, Environmental dynamics, correlations, and the emergence of noncanon- ical equilibrium states in open quantum systems, Phys. Rev. A90, 032114 (2014)

    work page 2014

  58. [58]

    Iles-Smith, A

    J. Iles-Smith, A. G. Dijkstra, N. Lambert, and A. Nazir, Energy transfer in structured and unstructured envi- ronments: Master equations beyond the Born-Markov approximations, The Journal of Chemical Physics144, 044110 (2016)

    work page 2016

  59. [59]

    Nazir and G

    A. Nazir and G. Schaller, The reaction coordinate map- ping in quantum thermodynamics, inThermodynamics in the Quantum Regime: Fundamental Aspects and New Directions, edited by F. Binder, L. A. Correa, C. Gogolin, J. Anders, and G. Adesso (Springer International Pub- lishing, Cham, 2018) pp. 551–577

    work page 2018

  60. [60]

    Prior, A

    J. Prior, A. W. Chin, S. F. Huelga, and M. B. Plenio, Efficient simulation of strong system-environment inter- actions, Phys. Rev. Lett.105, 050404 (2010)

    work page 2010

  61. [61]

    Strasberg, G

    P. Strasberg, G. Schaller, N. Lambert, and T. Brandes, Nonequilibrium thermodynamics in the strong coupling and non-Markovian regime based on a reaction coordi- nate mapping, New Journal of Physics18, 073007 (2016)

    work page 2016

  62. [62]

    Newman, F

    D. Newman, F. Mintert, and A. Nazir, Performance of a quantum heat engine at strong reservoir coupling, Phys. Rev. E95, 032139 (2017)

    work page 2017

  63. [63]

    Anto-Sztrikacs and D

    N. Anto-Sztrikacs and D. Segal, Strong coupling effects in quantum thermal transport with the reaction coordinate method, New Journal of Physics23, 063036 (2021)

    work page 2021

  64. [64]

    Anto-Sztrikacs, F

    N. Anto-Sztrikacs, F. Ivander, and D. Segal, Quantum thermal transport beyond second order with the reaction coordinate mapping, The Journal of Chemical Physics 156, 214107 (2022)

    work page 2022

  65. [65]

    Anto-Sztrikacs, A

    N. Anto-Sztrikacs, A. Nazir, and D. Segal, Effective- hamiltonian theory of open quantum systems at strong coupling, PRX Quantum4, 020307 (2023)

    work page 2023

  66. [66]

    Colla and H.-P

    A. Colla and H.-P. Breuer, Thermodynamic roles of quan- tum environments: from heat baths to work reservoirs, Quantum Science and Technology10, 015047 (2024)

    work page 2024

  67. [67]

    Brenes, J

    M. Brenes, J. Garwo la, and D. Segal, Optimal qubit- mediated quantum heat transfer via noncommuting op- erators and strong coupling effects, Phys. Rev. B111, 235440 (2025)

    work page 2025

  68. [68]

    Shubrook, J

    M. Shubrook, J. Iles-Smith, and A. Nazir, Non- markovian quantum heat statistics with the reaction co- ordinate mapping, Quantum Science and Technology10, 025063 (2025)

    work page 2025

  69. [69]

    M. P. Woods, R. Groux, A. W. Chin, S. F. Huelga, and M. B. Plenio, Mappings of open quantum systems onto chain representations and Markovian embeddings, Jour- nal of Mathematical Physics55, 032101 (2014)

    work page 2014

  70. [70]

    M. G. Genoni, M. G. A. Paris, and K. Banaszek, Quan- tifying the non-Gaussian character of a quantum state by quantum relative entropy, Phys. Rev. A78, 060303 (2008)

    work page 2008

  71. [71]

    R. J. Glauber, The quantum theory of optical coherence, Physical Review130, 2529 (1963)

    work page 1963

  72. [72]

    Baumgratz, M

    T. Baumgratz, M. Cramer, and M. B. Plenio, Quantify- ing coherence, Phys. Rev. Lett.113, 140401 (2014)

    work page 2014

  73. [73]

    Liu and D

    J. Liu and D. Segal, Coherences and the thermodynamic uncertainty relation: Insights from quantum absorption refrigerators, Phys. Rev. E103, 032138 (2021)

    work page 2021

  74. [74]

    Mascherpa, A

    F. Mascherpa, A. Smirne, A. D. Somoza, P. Fern´ andez- Acebal, S. Donadi, D. Tamascelli, S. F. Huelga, and M. B. Plenio, Optimized auxiliary oscillators for the simulation of general open quantum systems, Phys. Rev. A101, 052108 (2020)

    work page 2020

  75. [75]

    Brenes, J

    M. Brenes, J. J. Mendoza-Arenas, A. Purkayastha, M. T. Mitchison, S. R. Clark, and J. Goold, Tensor-network method to simulate strongly interacting quantum ther- mal machines, Phys. Rev. X10, 031040 (2020)

    work page 2020

  76. [76]

    J. E. Elenewski, G. W´ ojtowicz, M. M. Rams, and 14 M. Zwolak, Performance of reservoir discretizations in quantum transport simulations, The Journal of Chemi- cal Physics155, 124117 (2021)

    work page 2021

  77. [77]

    A. M. Lacerda, A. Purkayastha, M. Kewming, G. T. Landi, and J. Goold, Quantum thermodynamics with fast driving and strong coupling via the mesoscopic leads ap- proach, Phys. Rev. B107, 195117 (2023)

    work page 2023

  78. [78]

    Purkayastha, G

    A. Purkayastha, G. Guarnieri, S. Campbell, J. Prior, and J. Goold, Periodically refreshed baths to simulate open quantum many-body dynamics, Physical Review B104, 045417 (2021)

    work page 2021

  79. [79]

    Purkayastha, G

    A. Purkayastha, G. Guarnieri, S. Campbell, J. Prior, and J. Goold, Periodically refreshed quantum thermal ma- chines, Quantum6, 801 (2022)

    work page 2022

  80. [80]

    Menczel, K

    P. Menczel, K. Funo, M. Cirio, N. Lambert, and F. Nori, Non-hermitian pseudomodes for strongly coupled open quantum systems: Unravelings, correlations, and ther- modynamics, Phys. Rev. Res.6, 033237 (2024)

    work page 2024

Showing first 80 references.