Thermodynamic consistency of quantum master equations
- URL: http://arxiv.org/abs/2207.05719v1
- Date: Tue, 12 Jul 2022 17:39:54 GMT
- Title: Thermodynamic consistency of quantum master equations
- Authors: Ariane Soret, Vasco Cavina and Massimiliano Esposito
- Abstract summary: We show that the fluctuating second law can be rephrased as a Generalized Quantum Detailed Balance condition (GQDB)
If energy conservation is only required on average, QMEs with non Gibbsian steady states can still maintain a certain level of thermodynamic consistency.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Starting from a microscopic system-baths description, we derive the general
conditions for a time-local quantum master equation (QME) to satisfy the first
and second law of thermodynamics at the fluctuating level. Using counting
statistics, we show that the fluctuating second law can be rephrased as a
Generalized Quantum Detailed Balance condition (GQDB), i.e., a symmetry of the
time-local generators which ensures the validity of the fluctuation theorem.
When requiring in addition a strict system-bath energy conservation, the GQDB
reduces to the usual notion of detailed balance which ensures QMEs with
Gibbsian steady states. However, if energy conservation is only required on
average, QMEs with non Gibbsian steady states can still maintain a certain
level of thermodynamic consistency. Applying our theory to commonly used QMEs,
we show that the Redfield equation breaks the GQDB, and that some recently
derived approximation schemes based on the Redfield equation (which hold beyond
the secular approximation and allow to derive a QME of Lindblad form) satisfy
the GQDB and the average first law. We find that performing the secular
approximation is the only way to ensure the first and second law at the
fluctuating level.
Related papers
- Unification of Stochastic and Quantum Thermodynamics in Scalar Field Theory via a Model with Brownian Thermostat [0.0]
We present a systematic procedure to derive a quantum master equation for thermal relaxation in real scalar field theory.
We define heat, work, and entropy in a way that satisfies the first and second laws of quantum thermodynamics.
arXiv Detail & Related papers (2025-03-04T23:48:29Z) - Generalized Quantum Stein's Lemma and Second Law of Quantum Resource Theories [47.02222405817297]
A fundamental question in quantum information theory is whether an analogous second law can be formulated to characterize the convertibility of resources for quantum information processing by a single function.
In 2008, a promising formulation was proposed, linking resource convertibility to the optimal performance of a variant of the quantum version of hypothesis testing.
In 2023, a logical gap was found in the original proof of this lemma, casting doubt on the possibility of such a formulation of the second law.
arXiv Detail & Related papers (2024-08-05T18:00:00Z) - Quantum thermodynamics of nonequilibrium processes in lattice gauge theories [0.0]
We show how to define thermodynamic quantities using strong-coupling thermodynamics.
Our definitions suit instantaneous quenches, simple nonequilibrium processes undertaken in quantum simulators.
arXiv Detail & Related papers (2024-04-03T18:00:03Z) - Full counting statistics and coherences: fluctuation symmetry in heat
transport with the Unified quantum master equation [0.0]
We investigate statistics of energy currents through open quantum systems with nearly degenerate levels.
We find that maintaining coherences between nearly degenerate levels is essential for the properly capturing the current and its cumulants.
arXiv Detail & Related papers (2022-12-21T19:01:52Z) - Canonically consistent quantum master equation [68.8204255655161]
We put forth a new class of quantum master equations that correctly reproduce the state of an open quantum system beyond the infinitesimally weak system-bath coupling limit.
Our method is based on incorporating the knowledge of the reduced steady state into its dynamics.
arXiv Detail & Related papers (2022-05-25T15:22:52Z) - Gauge Quantum Thermodynamics of Time-local non-Markovian Evolutions [77.34726150561087]
We deal with a generic time-local non-Markovian master equation.
We define current and power to be process-dependent as in classical thermodynamics.
Applying the theory to quantum thermal engines, we show that gauge transformations can change the machine efficiency.
arXiv Detail & Related papers (2022-04-06T17:59:15Z) - Maximum entropy quantum state distributions [58.720142291102135]
We go beyond traditional thermodynamics and condition on the full distribution of the conserved quantities.
The result are quantum state distributions whose deviations from thermal states' get more pronounced in the limit of wide input distributions.
arXiv Detail & Related papers (2022-03-23T17:42:34Z) - Renormalization in the Theory of Open Quantum Systems via the
Self-Consistency Condition [0.0]
We investigate the topic of renormalization in the theory of weakly interacting open quantum systems.
Our starting point is an open quantum system interacting with a single heat bath.
arXiv Detail & Related papers (2021-12-22T15:34:14Z) - Fast Thermalization from the Eigenstate Thermalization Hypothesis [69.68937033275746]
Eigenstate Thermalization Hypothesis (ETH) has played a major role in understanding thermodynamic phenomena in closed quantum systems.
This paper establishes a rigorous link between ETH and fast thermalization to the global Gibbs state.
Our results explain finite-time thermalization in chaotic open quantum systems.
arXiv Detail & Related papers (2021-12-14T18:48:31Z) - Open-system approach to nonequilibrium quantum thermodynamics at
arbitrary coupling [77.34726150561087]
We develop a general theory describing the thermodynamical behavior of open quantum systems coupled to thermal baths.
Our approach is based on the exact time-local quantum master equation for the reduced open system states.
arXiv Detail & Related papers (2021-09-24T11:19:22Z) - Fluctuating quantum heat [0.0]
The increase in average energy of a quantum system undergoing projective energy measurements is referred to as "quantum heat"
In the framework of quantum thermodynamics, this is constructed as the average over the fluctuating quantum heat (FQH)
We show that the FQH is an instance of conditional increase in energy given sequential measurements.
arXiv Detail & Related papers (2020-06-12T15:07:17Z) - Thermodynamics of Optical Bloch Equations [0.0]
We study the coherent exchange of energy between a quantum bit (qubit) and a quasi-resonant driving field in the presence of a thermal bath.
We coarse-grain the obtained expressions, using a methodology similar to the derivation of the dynamical master equation.
Our findings can be readily extended to larger open quantum systems.
arXiv Detail & Related papers (2020-01-22T14:37:05Z)
This list is automatically generated from the titles and abstracts of the papers in this site.
This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.