Thermodynamics of Optical Bloch Equations
- URL: http://arxiv.org/abs/2001.08033v4
- Date: Wed, 7 Oct 2020 09:28:25 GMT
- Title: Thermodynamics of Optical Bloch Equations
- Authors: Cyril Elouard, David Herrera-Mart\'i, Massimiliano Esposito and Alexia
Auff\`eves
- Abstract summary: 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.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Optical Bloch Equations (OBE) describe the coherent exchange of energy
between a quantum bit (qubit) and a quasi-resonant driving field in the
presence of a thermal bath. Despite it being an ubiquitous process in quantum
technologies, a sound thermodynamic analysis is still missing. We hereby
provide such an analysis, by deriving the relevant framework from first
principles. Building on a microscopic model of the bath, we first express heat,
work and entropy production for the closed qubit-bath system where these
definitions are unambiguous. We coarse-grain the obtained expressions, using a
methodology similar to the derivation of the dynamical master equation and
giving rise to consistent expressions of the First and Second Law. We verify
that long coarse graining times yield the Floquet Master Equation and its
already known thermodynamic description. Conversely, short coarse-graining
times yield the OBE and its consistent thermodynamic framework, whose variables
explicitly depend on the quantum coherences in the qubit's energy basis. These
quantum signatures in the heat and in the entropy production flows allow us to
characterize a genuinely quantum non-equilibrium situation, where the
coherences created by the driving field are continuously erased by the bath.
Our findings can be readily extended to larger open quantum systems. They carry
the seeds for future thermodynamic analyses of quantum gates and the design of
quantum engines in the strong coherent driving regime.
Related papers
- Quantum thermalization of translation-invariant systems at high temperature [0.0]
Quantum thermalization describes how closed quantum systems can effectively reach thermal equilibrium.
Despite its ubiquity and conceptual significance, a complete proof of quantum thermalization has remained elusive for several decades.
We prove that quantum thermalization must occur in any qubit system with local interactions satisfying three conditions.
arXiv Detail & Related papers (2024-09-11T18:00:01Z) - Thermodynamics of adiabatic quantum pumping in quantum dots [50.24983453990065]
We consider adiabatic quantum pumping through a resonant level model, a single-level quantum dot connected to two fermionic leads.
We develop a self-contained thermodynamic description of this model accounting for the variation of the energy level of the dot and the tunnelling rates with the thermal baths.
arXiv Detail & Related papers (2023-06-14T16:29:18Z) - Universality of critical dynamics with finite entanglement [68.8204255655161]
We study how low-energy dynamics of quantum systems near criticality are modified by finite entanglement.
Our result establishes the precise role played by entanglement in time-dependent critical phenomena.
arXiv Detail & Related papers (2023-01-23T19:23:54Z) - On the First Law of Thermodynamics in Time-Dependent Open Quantum
Systems [0.0]
How to rigorously define thermodynamic quantities such as heat, work, and internal energy in open quantum systems driven far from equilibrium remains a significant open question in quantum thermodynamics.
Heat is a quantity whose fundamental definition applies only to processes in systems infinitesimally perturbed from equilibrium.
Heat is accounted for carefully in strongly-driven systems.
arXiv Detail & Related papers (2022-08-13T02:26:31Z) - Demonstrating Quantum Microscopic Reversibility Using Coherent States of
Light [58.8645797643406]
We propose and experimentally test a quantum generalization of the microscopic reversibility when a quantum system interacts with a heat bath.
We verify that the quantum modification for the principle of microscopic reversibility is critical in the low-temperature limit.
arXiv Detail & Related papers (2022-05-26T00:25:29Z) - 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) - 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) - Szilard Engines as Quantum Thermodynamical Systems [1.3764085113103222]
We analyze an engine whose working fluid consists of a single quantum particle.
We show that the quantum engine obeys the Second Law.
However, the quantum engine does so via substantially different mechanisms.
arXiv Detail & Related papers (2020-10-27T22:33:13Z) - Quantum thermodynamically consistent local master equations [0.0]
We show that local master equations are consistent with thermodynamics and its laws without resorting to a microscopic model.
We consider a quantum system in contact with multiple baths and identify the relevant contributions to the total energy, heat currents and entropy production rate.
arXiv Detail & Related papers (2020-08-11T14:53:36Z) - Quantum corrections to the entropy in a driven quantum Brownian motion
model [2.28438857884398]
We study the von Neumann entropy of a particle undergoing quantum Brownian motion.
Our results bring important insights to the understanding of entropy in open quantum systems.
arXiv Detail & Related papers (2020-08-05T14:13:39Z)
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.