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Related papers: A quantum violation of the second law?

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We propose a new form of the Second Law inequality that defines a tight bound for extractable work from the non-equilibrium quantum state. In classical thermodynamics, the optimal work is given by the difference of free energy, what…

Quantum Physics · Physics 2023-02-14 Marcin Łobejko

Second law of thermodynamics is applied to a few electronic processes. It is seen that the second law of thermodynamics holds good for all except one mentioned here. The classical approach, based on exact equivalence of emission and…

General Physics · Physics 2007-05-23 R. C. Gupta , Ruchi Gupta , Sanjay Gupta

The free energy of a quantum oscillator in an arbitrary heat bath at a temperature T is given by a "remarkable formula" which involves only a single integral. This leads to a corresponding simple result for the entropy. The low temperature…

Quantum Physics · Physics 2009-11-13 G. W. Ford , R. F. O'Connell

A version of the second law of thermodynamics states that one cannot lower the energy of an isolated system by a cyclic operation. We prove this law without introducing statistical ensembles and by resorting only to quantum mechanics. We…

Statistical Mechanics · Physics 2013-04-02 Sheldon Goldstein , Takashi Hara , Hal Tasaki

A heat engine undergoes a cyclic operation while in equilibrium with the net result of conversion of heat into work. Quantum effects such as superposition of states can improve an engine's efficiency by breaking detailed balance, but this…

Quantum Physics · Physics 2013-03-07 Sahand Hormoz

It has long been known that, fundamentally different from a large body of rarefied gas, when a Knudsen gas is immersed in a thermal bath, it may never reach thermal equilibrium. The root cause is nonchaoticity: as the particle-particle…

Statistical Mechanics · Physics 2024-11-15 Yu Qiao , Zhaoru Shang

The second law of thermodynamics for adiabatic operations -- constraints on state transitions in closed systems under external control -- is one of the fundamental principles of thermodynamics. On the other hand, it is recently established…

Statistical Mechanics · Physics 2026-02-09 Yuuya Chiba , Yasushi Yoneta , Ryusuke Hamazaki , Akira Shimizu

The second law of thermodynamics places a limitation into which states a system can evolve into. For systems in contact with a heat bath, it can be combined with the law of energy conservation, and it says that a system can only evolve into…

Quantum Physics · Physics 2015-11-20 Piotr Ćwikliński , Michał Studziński , Michał Horodecki , Jonathan Oppenheim

The quantum thermodynamic functions of a harmonic oscillator coupled to a heat bath through velocity-dependent coupling are obtained analytically. It is shown that both the free energy and the entropy decay fast with the temperature in…

Statistical Mechanics · Physics 2009-11-13 Chun-Yang Wang , Jing-Dong Bao

We consider the Non-Equilibrium Steady State induced by two infinite quantum thermal reservoirs at different temperatures and derive an inequality giving the upper bound of the work extracted by cyclic operations. This upper bound tends to…

Statistical Mechanics · Physics 2024-06-19 Kazuki Yamaga

The second law of thermodynamics states that a system in contact with a heat bath can undergo a transformation if and only if its free energy decreases. However, the "if" part of this statement is only true when the effective heat bath is…

Quantum Physics · Physics 2018-06-27 Jonathan G. Richens , Álvaro M. Alhambra , Lluis Masanes

The spin-boson model, often used in NMR and ESR physics, quantum optics and spintronics, is considered in a solvable limit to model a spin one-half particle interacting with a bosonic thermal bath. By applying external pulses to a…

Statistical Mechanics · Physics 2009-11-07 Claudia Pombo , Armen E. Allahverdyan , Theo M. Nieuwenhuizen

Deriving the laws of thermodynamics from a microscopic picture is a central quest of statistical mechanics. This tutorial focuses on the derivation of the first and second law for closed and open quantum systems far from equilibrium, where…

Quantum Physics · Physics 2021-08-31 Philipp Strasberg , Andreas Winter

Some works have appeared in recent accredited literature considering the possibility of macroscopic violations of the second law in simulated as well as really executed experiments. We argue the inexistence of such violations in experiments…

General Physics · Physics 2018-05-09 Leonardo Chiatti

The second law of thermodynamics constitutes a fundamental principle of physics, precluding the existence of perpetual motion machines and providing a natural definition of the arrow of time. Its scope extends across virtually all areas of…

General Relativity and Quantum Cosmology · Physics 2025-10-21 Alejandro Corichi , Omar Gallegos

A new thermodynamic inequality is derived which leads to the maximum work that can be extracted from multi-heat baths with the assistance of discrete quantum feedback control. The maximum work is determined by the free-energy difference and…

Quantum Physics · Physics 2009-11-13 Takahiro Sagawa , Masahito Ueda

The spin-boson model, often used in NMR and ESR physics, quantum optics and spintronics, is considered in a solvable limit to model a spin one-half particle interacting with a bosonic thermal bath. By applying external pulses to a…

Statistical Mechanics · Physics 2009-11-07 A. E. Allahverdyan , Th. M. Nieuwenhuizen

The essential postulates of classical thermodynamics are formulated, from which the second law is deduced as the principle of increase of entropy in irreversible adiabatic processes that take one equilibrium state to another. The entropy…

Soft Condensed Matter · Physics 2009-10-30 Elliott H. Lieb , Jakob Yngvason

The Clausius inequality, one of the classical formulations of the second law, was recently found to be violated in the quantum regime. Here this result is formulated in the context of a mesoscopic or nanoscale linear RLC circuit interacting…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 A. E. Allahverdyan , Th. M. Nieuwenhuizen

How much work can be extracted from a heat bath using a thermal machine? The study of this question has a very long tradition in statistical physics in the weak-coupling limit, applied to macroscopic systems. However, the assumption that…

Quantum Physics · Physics 2015-06-17 R. Gallego , A. Riera , J. Eisert