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The development of a self-consistent thermodynamic theory of quantum systems is of fundamental importance for modern physics. Still, despite its essential role in quantum science and technology, there is no unifying formalism for…

Quantum Physics · Physics 2022-11-30 André Malavazi , Frederico Brito

It was first suggested by David Z. Albert that the existence of a real, physical non-unitary process (i.e., "collapse") at the quantum level would yield a complete explanation for the Second Law of Thermodynamics (i.e., the increase in…

Quantum Physics · Physics 2018-07-24 R. E. Kastner

The first and second laws of thermodynamics should lead to a consistent scenario for discussing the cosmological constant problem. In the present study, to establish such a thermodynamic scenario, cosmological equations in a flat…

General Relativity and Quantum Cosmology · Physics 2025-06-05 Nobuyoshi Komatsu

Microcanonical Thermodynamics allows the application of Statistical Mechanics on one hand to closed finite and even small systems and on the other to the largest,self-gravitating ones. However, one has to reconsider the fundamental…

Statistical Mechanics · Physics 2007-05-23 D. H. E. Gross

Entanglement within a given device provides a potential resource for quantum information processing. Entanglement between system and environment leads to decoherence (thus suppressing non-classical features within the system) but also opens…

Quantum Physics · Physics 2007-05-23 Guenter Mahler , Jochen Gemmer , Mathias Michel

The first law of thermodynamics restates the law of conservation of energy. It partitions the change in energy of a system into two pieces, heat and work. While there is no ambiguity to define heat and work in classical thermodynamics,…

Quantum Physics · Physics 2023-01-19 Xue-Qun Yan , Yan-Jiao Du , Wen-Tao Hou , Xiao-Ming Liu

We introduce a non-equilibrium version of the Caldeira-Leggett model in which a quantum particle is strongly coupled to a set of engineered reservoirs. The reservoirs are composed by collections of squeezed and displaced thermal modes, in…

Quantum Physics · Physics 2026-05-19 Vasco Cavina , Massimiliano Esposito

When two or more subsystems of a quantum system interact with each other they can become entangled. In this case the individual subsystems can no longer be described as pure quantum states. For systems with only 2 subsystems this…

Quantum Physics · Physics 2007-05-23 Rachel Parker , Chris Doran

Using the quantum Hamiltonian for a gravitational system with boundary, we find the partition function and derive the resulting thermodynamics. The Hamiltonian is the boundary term required by functional differentiability of the action for…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Seth A. Major , Kevin L. Setter

Equilibrium statistics of Hamiltonian systems is correctly described by the microcanonical ensemble, whereas canonical ones fail in the most interesting, mostly inhomogeneous, situations like phase separations or away from the thermodynamic…

Statistical Mechanics · Physics 2007-05-23 D. H. E. Gross

The ultimate precision of any measurement of the temperature of a quantum system is the inverse of the local quantum thermal susceptibility [De Pasquale et al., Nature Communications 7, 12782 (2016)] of the subsystem with whom the…

Quantum Physics · Physics 2017-05-24 Giacomo De Palma , Antonella De Pasquale , Vittorio Giovannetti

We study the transition probabilities of a two-point measurement on a quantum system, initially prepared in a thermal state. We find two independent constraints on the difference between transition probabilities when the system is prepared…

Mesoscale and Nanoscale Physics · Physics 2025-05-20 Ludovico Tesser , Matteo Acciai , Christian Spånslätt , Inès Safi , Janine Splettstoesser

We consider error suppression schemes in which quantum information is encoded into the ground subspace of a Hamiltonian comprising a sum of commuting terms. Since such Hamiltonians are gapped they are considered natural candidates for…

Quantum Physics · Physics 2015-01-09 Iman Marvian , Daniel A. Lidar

All physical theories should obey the second law of thermodynamics. However, existing proposals to describe the dynamics of hybrid classical-quantum systems either violate the second law or lack a proof of its existence. Here we rectify…

Quantum Physics · Physics 2025-07-29 Isaac Layton , Harry J. D. Miller

We study the question of how to decompose Hilbert space into a preferred tensor-product factorization without any pre-existing structure other than a Hamiltonian operator, in particular the case of a bipartite decomposition into "system"…

Quantum Physics · Physics 2021-02-24 Sean M. Carroll , Ashmeet Singh

Equilibrium statistics of Hamiltonian systems is correctly described by the microcanonical ensemble. Classically this is the manifold of all points in the $N-$body phase space with the given total energy. Due to Boltzmann's principle,…

Statistical Mechanics · Physics 2009-04-28 D. H. E. Gross

We discuss the partitioning of the Hilbert space of a quantum system induced by the interaction with another system at thermal equilibrium, showing that the higher the temperature the more effective is the formation of Zeno subspaces. We…

Quantum Physics · Physics 2015-05-28 B. Militello , M. Scala , A. Messina

In this paper we have considered the holographic dark energy and studied it's cosmology and thermodynamics. We have analysed the generalized second law (GSL) of thermodynamics in a flat universe consists of interacting dark energy and dark…

General Relativity and Quantum Cosmology · Physics 2014-02-03 Praseetha P. , Titus K. Mathew

We investigate the validity of the Generalized Second Law (GSL) of thermodynamics in a $(2+1)$-dimensional holographic cosmological model with a negative cosmological constant. Adopting a horizon thermodynamics framework, we examine two…

General Relativity and Quantum Cosmology · Physics 2025-08-20 Praveen Kumar Dhankar , Aritra Sanyal , Safiqul Islam , Farook Rahaman , Behnam Pourhassan

We obtain generalizations of the Kelvin-Planck, Clausius, and Carnot statements of the second law of thermodynamics, for situations involving information processing. To this end, we consider an information reservoir (representing, e.g. a…

Statistical Mechanics · Physics 2013-10-21 Sebastian Deffner , Christopher Jarzynski