Quantum Thermodynamics: A Dynamical Viewpoint

@article{Kosloff2013QuantumTA,
  title={Quantum Thermodynamics: A Dynamical Viewpoint},
  author={Ronnie Kosloff},
  journal={Entropy},
  year={2013},
  volume={15},
  pages={2100-2128}
}
Quantum thermodynamics addresses the emergence of thermodynamic laws from quantum mechanics. The viewpoint advocated is based on the intimate connection of quantum thermodynamics with the theory of open quantum systems. Quantum mechanics inserts dynamics into thermodynamics, giving a sound foundation to finite-time-thermodynamics. The emergence of the 0-law, I-law, II-law and III-law of thermodynamics from quantum considerations is presented. The emphasis is on consistency between the two… 

Figures from this paper

Introduction to Quantum Thermodynamics (Lecture Notes)
The theory of quantum thermodynamics investigates how the concepts of heat, work, and temperature can be carried over to the quantum realm, where fluctuations and randomness are fundamentally
Introduction to Quantum Thermodynamics: History and Prospects
Quantum Thermodynamics is a continuous dialogue between two independent theories: Thermodynamics and Quantum Mechanics. Whenever the two theories have addressed the same phenomena new insight has
Introduction to Quantum Thermodynamics
The theory of quantum thermodynamics investigates how the concepts of heat, work, and temperature can be carried over to the quantum realm, where fluctuations and randomness are fundamentally
No Entropy Production in Quantum Thermodynamics
In this work we will show that there exists a fundamental difference between microscopic quantum thermodynamics and macroscopic classical thermodynamics. It will be proved that the entropy production
Quantum thermodynamics
Quantum thermodynamics is an emerging research field aiming to extend standard thermodynamics and non-equilibrium statistical physics to ensembles of sizes well below the thermodynamic limit, in
Quantum thermodynamics of single particle systems
TLDR
A theory of quantum thermodynamics that is applicable for arbitrary small systems, even for single particle systems coupled with a reservoir, and generalizes the concept of temperature beyond equilibrium that depends on the detailed dynamics of quantum states.
The role of quantum information in thermodynamics --- a topical review
TLDR
This topical review article gives an overview of the interplay between quantum information theory and thermodynamics of quantum systems, including the foundations of statistical mechanics, resource theories, entanglement in thermodynamic settings, fluctuation theorems and thermal machines.
Quantum Thermodynamics at Strong Coupling: Operator Thermodynamic Functions and Relations
TLDR
This work provides a quantum formulation of Jarzynski’s two representations of the thermodynamics of quantum systems, and shows how to construct the operator thermodynamic potentials, the expectation values of which provide the familiar thermodynamic variables.
A theory of thermodynamics for nanoscale quantum systems
Thermodynamics is one of the main pillars of theoretical physics, and it has a special appeal of having wide applicability to a large variety of different physical systems. However, many assumptions
Strong Coupling Quantum Thermodynamics with Renormalized Hamiltonian and Temperature.
We develop the strong coupling quantum thermodynamics based on the solution of the exact master equation. We find that both the Hamiltonian and the temperature must be renormalized due to the
...
1
2
3
4
5
...

References

SHOWING 1-10 OF 172 REFERENCES
Quantum thermodynamic processes: a control theory for machine cycles
The minimal set of thermodynamic control parameters consists of a statistical (thermal) and a mechanical one. These suffice to introduce all the pertinent thermodynamic variables; thermodynamic
The quantum refrigerator: The quest for absolute zero
The emergence of the laws of thermodynamics from the laws of quantum mechanics is an unresolved issue. The generation of the third law of thermodynamics from quantum dynamics is analysed. The scaling
The physics and mathematics of the second law of thermodynamics
Entropy and temperature of a quantum Carnot engine
  • C. Bender, D. Brody, B. Meister
  • Physics
    Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences
  • 2002
It is possible to extract work from a quantum–mechanical system whose dynamics is governed by a time–dependent cyclic Hamiltonian. An energy bath is required to operate such a quantum engine in place
Dynamics and thermodynamics of linear quantum open systems.
TLDR
It is shown that the reduced density matrix of the network always obeys a local master equation with a simple analytical solution, and the third law imposes constraints on the low frequency behavior of the environmental spectral densities.
Quantum-mechanical Maxwell’s demon
A Maxwell's demon is a device that gets information and trades it in for thermodynamic advantage, in apparent (but not actual) contradiction to the second law of thermodynamics. Quantum-mechanical
Quantum thermodynamic cooling cycle.
TLDR
The quantum-mechanical and thermodynamic properties of a three-level molecular cooling cycle are derived and the dependence of the maximum attainable cooling rate on temperature, at ultralow temperatures, is determined and shown to respect the recently established fundamental bound based on the second and third laws of thermodynamics.
A Short Course in Quantum Information Theory: An Approach From Theoretical Physics
Introduction.- Foundations of Classical Physics.- Semiclassical -Semi-q-physics.- Foundations of q-physics.- Two-state q-system: Qubit Representations.- One-qubit Manipulaitons.- Composite q-system,
Quantum thermodynamic cycles and quantum heat engines.
TLDR
The role of Maxwell's demon is discussed and it is found that there is no violation of the second law, even in the existence of such a demon, when the demon is included correctly as part of the working substance of the heat engine.
On the classical limit of quantum thermodynamics in finite time
The finite time performance of quantum heat engines has been examined with emphasis on the classical, high temperature, limit. Two basic engine models were studied, differing by their consistency of
...
1
2
3
4
5
...