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Critical relaxation with overdamped quasiparticles in open quantum systems
Quantum Gases · Submitted 16 Feb 2016
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We show that the dynamical phase transition at a critical atom-light coupling is characterized by the interplay between reservoir-driven and intrinsic relaxation processes.
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The abstract, sentence by sentence
We study the late-time relaxation following a quench in a driven-dissipative quantum many-body system. We consider the open Dicke model, describing the infinite-range interactions between $N$ atoms and a single, lossy electromagnetic mode. We show that the dynamical phase transition at a critical atom-light coupling is characterized by the interplay between reservoir-driven and intrinsic relaxation processes. Above the critical coupling, small fluctuations in the occupation of the dominant quasiparticle-mode start to grow in time while the quasiparticle lifetime remains finite due to losses. Near the critical interaction strength we observe a crossover between exponential and power-law $1/\tau$ relaxation, the latter driven by collisions between quasiparticles. For a quench exactly to the critical coupling, the power-law relaxation extends to infinite times, but the finite lifetime of quasiparticles prevents ageing to appear. We predict our results to be accessible to quench experiments with ultracold bosons in optical resonators.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We study the late-time relaxation following a quench in a driven-dissipative quantum many-body system. | contribution 0.91 | 0.87 | 0.04 | asserted 0.67 |
| s1 | We consider the open Dicke model, describing the infinite-range interactions between $N$ atoms and a single, lossy electromagnetic mode. | method 0.83 | 0.24 | 0.03 | asserted 0.89 |
| s2 | We show that the dynamical phase transition at a critical atom-light coupling is characterized by the interplay between reservoir-driven and intrinsic relaxation processes. | result 0.83 | 0.90 | 0.44 | asserted 1.00 |
| s3 | Above the critical coupling, small fluctuations in the occupation of the dominant quasiparticle-mode start to grow in time while the quasiparticle lifetime remains finite due to losses. | result 0.99 | 0.88 | 0.23 | asserted 1.00 |
| s4 | Near the critical interaction strength we observe a crossover between exponential and power-law $1/\tau$ relaxation, the latter driven by collisions between quasiparticles. | result 1.00 | 0.92 | 0.20 | asserted 1.00 |
| s5 | For a quench exactly to the critical coupling, the power-law relaxation extends to infinite times, but the finite lifetime of quasiparticles prevents ageing to appear. | result 0.98 | 0.86 | 0.22 | asserted 1.00 |
| s6 | We predict our results to be accessible to quench experiments with ultracold bosons in optical resonators. | future work 0.79 | 0.31 | 0.06 | hedged possibility 0.72 |
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The paper
Original abstract
We study the late-time relaxation following a quench in a driven-dissipative quantum many-body system. We consider the open Dicke model, describing the infinite-range interactions between $N$ atoms and a single, lossy electromagnetic mode. We show that the dynamical phase transition at a critical atom-light coupling is characterized by the interplay between reservoir-driven and intrinsic relaxation processes. Above the critical coupling, small fluctuations in the occupation of the dominant quasiparticle-mode start to grow in time while the quasiparticle lifetime remains finite due to losses. Near the critical interaction strength we observe a crossover between exponential and power-law $1/\tau$ relaxation, the latter driven by collisions between quasiparticles. For a quench exactly to the critical coupling, the power-law relaxation extends to infinite times, but the finite lifetime of quasiparticles prevents ageing to appear. We predict our results to be accessible to quench experiments with ultracold bosons in optical resonators.
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References
How the literature uses it
3 arXiv papers cite this in 3 sentences
Papers citing it · 1 sentence without a confident label
Compares with it 1 paper
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The analysis presented here parallel the one for classical dissipative systems [ref] , open quantum systems [ref] , and imaginary time evolution of quantum systems [ref] , but with important differences.
Short-time universal scaling and light-cone dynamics after a quench in an isolated quantum system in $d$ spatial dimensions · Introduction · 0.89
Cites it as background 1 paper
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A particularly interesting phenomenon arising in autonomous quantum systems, but yet poorly understood for open ones [ref] , is the occurrence of dynamical phase transitions.
Transient phases and dynamical transitions in the post quench evolution of the generalized Bose-Anderson model · Introduction · 0.94
What it cites
Builds on 1 paper
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We adopt a diagrammatic technique based on the real-time Keldysh functional-integral formulation of the Dyson equation [ref] , extending the steady state approach developed in [ref] to include the relaxation induced by quasiparticle collisions as well as the breaking of time-translation invariance.
Keldysh Field Theory for Driven Open Quantum Systems · Approach · 0.90
Cites as background 2 papers
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The extension of these concepts to quantum and open systems constitutes a challenging task which has recently received much attention both for the near-steady-state [ref] and quench [ref] dynamics, also due to remarkable experimental advances in the control of hybrid systems involving phonons/photons coupled to ions [ref] , excitons [ref] , superconducting circuits [ref] , mechanical modes [ref] , or neutral atoms [ref] .
Nonequilibrium many-body steady states via Keldysh formalism · Introduction · 0.83
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The extension of these concepts to quantum and open systems constitutes a challenging task which has recently received much attention both for the near-steady-state [ref] and quench [ref] dynamics, also due to remarkable experimental advances in the control of hybrid systems involving phonons/photons coupled to ions [ref] , excitons [ref] , superconducting circuits [ref] , mechanical modes [ref] , or neutral atoms [ref] .
Non-equilibrium steady-states in a driven-dissipative superfluid · Introduction · 0.83
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