Phenomenology of a First Order Dark State Phase Transition

Dietrich Roscher; Michael Buchhold; Sebastian Diehl

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Phenomenology of a First Order Dark State Phase Transition

Dietrich Roscher, Sebastian Diehl, Michael Buchhold

Statistical Mechanics · Submitted 22 Mar 2018

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim This allows us to approach the nonequilibrium dark state transition and identify similarities and clear differences to common, equilibrium phase transitions, and to establish the phenomenology for a first order dark state phase transition.

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arXiv ID1803.08514 (version 1)

Pith ID4JWZW4B3, Pith's permanent record of this paper and its review

CitationDietrich Roscher, Michael Buchhold, Sebastian Diehl. "Phenomenology of a First Order Dark State Phase Transition." arXiv:1803.08514 (2018). https://pith.science/paper/4JWZW4B3

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What the abstract itself states, as probabilities: claims first 0.06 · states limitation 0.10 · human participants 0.01 · controlled comparison 0.06 · randomized assignment 0.01 · states quantitative result 0.05 · compares with prior results 0.37 · mentions code or data availability 0.02.

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Dark states are stationary states of a dissipative, Lindblad-type time evolution with zero von Neumann entropy, therefore representing examples of pure, steady quantum states. Non-equilibrium dynamics featuring a dark state recently gained a lot of attraction since their implementation in the context of driven-open quantum systems represents a viable possibility to engineer unique, pure states. In this work, we analyze a driven many-body spin system, which undergoes a transition from a dark steady state to a mixed steady state as a function of the driving strength. This transition connects a zero entropy (dark) state with a finite entropy (mixed) state and thus goes beyond the realm of equilibrium statistical mechanics and becomes of genuine nonequilibrium character. We analyze the relevant long wavelength fluctuations driving this transition in a regime where the system performs a discontinuous jump from a dark to a mixed state by means of the renormalization group. This allows us to approach the nonequilibrium dark state transition and identify similarities and clear differences to common, equilibrium phase transitions, and to establish the phenomenology for a first order dark state phase transition.

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What the classifier reports for each sentence. The number is the probability it gave the label.
#	sentence	role	the authors' own work	states the main conclusion	strength
s0	Dark states are stationary states of a dissipative, Lindblad-type time evolution with zero von Neumann entropy, therefore representing examples of pure, steady quantum states.	background 1.00	0.06	0.03	asserted 1.00
s1	Non-equilibrium dynamics featuring a dark state recently gained a lot of attraction since their implementation in the context of driven-open quantum systems represents a viable possibility to engineer unique, pure states.	background 1.00	0.04	0.03	asserted 0.57
s2	In this work, we analyze a driven many-body spin system, which undergoes a transition from a dark steady state to a mixed steady state as a function of the driving strength.	contribution 0.98	0.87	0.16	asserted 1.00
s3	This transition connects a zero entropy (dark) state with a finite entropy (mixed) state and thus goes beyond the realm of equilibrium statistical mechanics and becomes of genuine nonequilibrium character.	interpretation 0.90	0.47	0.18	asserted 1.00
s4	We analyze the relevant long wavelength fluctuations driving this transition in a regime where the system performs a discontinuous jump from a dark to a mixed state by means of the renormalization group.	method 0.94	0.94	0.11	asserted 1.00
s5	This allows us to approach the nonequilibrium dark state transition and identify similarities and clear differences to common, equilibrium phase transitions, and to establish the phenomenology for a first order dark state phase transition.	interpretation 0.44	0.93	0.71	asserted 0.98

What kind of paper the classifier reports this is: theoretical result 0.99 · evidence from proof or derivation 0.89.

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The paper

Original abstract

Dark states are stationary states of a dissipative, Lindblad-type time evolution with zero von Neumann entropy, therefore representing examples of pure, steady quantum states. Non-equilibrium dynamics featuring a dark state recently gained a lot of attraction since their implementation in the context of driven-open quantum systems represents a viable possibility to engineer unique, pure states. In this work, we analyze a driven many-body spin system, which undergoes a transition from a dark steady state to a mixed steady state as a function of the driving strength. This transition connects a zero entropy (dark) state with a finite entropy (mixed) state and thus goes beyond the realm of equilibrium statistical mechanics and becomes of genuine nonequilibrium character. We analyze the relevant long wavelength fluctuations driving this transition in a regime where the system performs a discontinuous jump from a dark to a mixed state by means of the renormalization group. This allows us to approach the nonequilibrium dark state transition and identify similarities and clear differences to common, equilibrium phase transitions, and to establish the phenomenology for a first order dark state phase transition.

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5 arXiv papers cite this in 5 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it · 3 sentences without a confident label

Cites it as background 2 papers

This has been object of intense theoretical investigation [ref] , in view of its direct experimental simulation with interacting Rydberg atoms [ref] .

Phase diagram of the dissipative quantum Ising model on a square lattice · Introduction · 0.88
Dissipative phase transitions have been discussed theoretically for photonic systems [ref] , lossy polariton condensates [ref] , and spin models [ref] .

Spectral theory of Liouvillians for dissipative phase transitions · Introduction and motivations · 0.85

What it cites · 18 sentences without a confident label

Uses the method or tool of 2 papers

We also introduce a functional renormalization group [ref] based approach, tailored to investigate long-wavelength dynamics of large order parameter fluctuations in a non-equilibrium setting to the currently developing theoretical toolbox for driven dissipative dynamics [ref] .

Cluster mean-field approach to the steady-state phase diagram of dissipative spin systems · Introduction · 0.93
We also introduce a functional renormalization group [ref] based approach, tailored to investigate long-wavelength dynamics of large order parameter fluctuations in a non-equilibrium setting to the currently developing theoretical toolbox for driven dissipative dynamics [ref] .

Pumping approximately integrable systems · Introduction · 0.93

Compares with 1 paper

Similar behavior has been observed for classical, absorbing state phase transitions in one spatial dimension, for which first order phase transitions induced by short ranged processes are conjectured not to exist [ref] , but second order absorbing state phase transitions have been established [ref] .

First-order transitions in fluctuating 1+1-dimensional nonequilibrium systems · The fate of the dark state in one dimension · 0.96

Cites as support 1 paper

It has been shown that deviations from a second order polynomial potential are RG relevant in $d=1$ [ref] and thus will persist on the largest wavelengths, denying the restoration of rapidity inversion and the directed percolation universality at $k=0$.

Non-equilibrium effective field theory for absorbing state phase transitions in driven open quantum spin systems · The fate of the dark state in one dimension · 0.97

Cites as background 2 papers

This repeats basic elements from the analysis in Refs. [ref] and serves as an introduction to the phase diagram and to the notion of a first order dark state transition.

Non-equilibrium effective field theory for absorbing state phase transitions in driven open quantum spin systems · Scope & Methods · 0.95
Here, each spin-$1/2$ degree of freedom represents the ground $|g⟩≡|↓⟩$ or the excited $|e⟩≡|↑⟩$ state of a Rydberg atom, as used in a number of recent experiments [ref] .

Uncovering the non-equilibrium phase structure of an open quantum spin system · Quantum master equation · 0.87

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