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In this paper, we study the thermodynamics and phase transition of a BTZ black hole in a finite space region, namely a cavity. By imposing a temperature-fixed boundary condition on the wall of the cavity and evaluating the Euclidean action,…

General Relativity and Quantum Cosmology · Physics 2022-08-25 Yuchen Huang , Jun Tao

We discuss the application of techniques of quantum estimation theory and quantum metrology to thermometry. The ultimate limit to the precision at which the temperature of a system at thermal equilibrium can be determined is related to the…

Quantum Physics · Physics 2019-05-01 Antonella De Pasquale , Thomas M. Stace

We present evidence for the existence of a quantum lower bound on the Bekenstein-Hawking temperature of black holes. The suggested bound is supported by a gedanken experiment in which a charged particle is dropped into a Kerr black hole. It…

General Relativity and Quantum Cosmology · Physics 2017-01-11 Shahar Hod

We present a unified thermodynamical description of the configurations consisting on self-gravitating radiation with or without a black hole. We compute the thermal fluctuations and evaluate where will they induce a transition from…

General Relativity and Quantum Cosmology · Physics 2010-04-06 Renaud Parentani , Joseph Katz , Isao Okamoto

Black hole thermodynamic stability can be determined by studying the nature of heat capacity of the system. For Schwarzschild black hole the heat capacity is negative, but in the quintessence field this system shows a second order phase…

General Relativity and Quantum Cosmology · Physics 2014-04-04 R. Tharanath , Nijo Varghese , V C Kuriakose

We have developed a theoretical formalism to introduce temperature as a parameter into the framework of non-relativistic quantum mechanics using the laws of classical thermodynamics and the canonical ensemble scheme of statistical…

Quantum Physics · Physics 2021-03-08 Ashkan Shekaari , Mahmoud Jafari

In this manuscript, we consider a deformation on the Heisenberg algebra and investigate the effects on the thermodynamics of the Schwarzschild black hole that is surrounded by quintessence matter. To this end, we obtain the temperature,…

General Relativity and Quantum Cosmology · Physics 2021-10-05 B. C. Lütfüoğlu , B. Hamil , L. Dahbi

We discuss how the thermalization of an elementary quantum system is modified when the system is placed in an environment out of thermal equilibrium. To this aim we provide a detailed investigation of the dynamics of an atomic system placed…

Quantum Physics · Physics 2013-01-16 Bruno Bellomo , Riccardo Messina , Didier Felbacq , Mauro Antezza

An explicit expression for the temperature of an open two-level quantum system is obtained as a function of local properties, under the hypothesis of weak interaction with the environment. This temperature is defined for both equilibrium…

Quantum Physics · Physics 2020-05-20 Andrés Vallejo , Alejandro Romanelli , Raúl Donangelo

While the ability to measure low temperatures accurately in quantum systems is important in a wide range of experiments, the possibilities and the fundamental limits of quantum thermometry are not yet fully understood theoretically. Here we…

Quantum Physics · Physics 2019-07-10 Patrick P. Potts , Jonatan Bohr Brask , Nicolas Brunner

It has long been taken for granted that there is only one type of thermodynamic system near absolute zero temperature: the ordinary one compatible with all statements of the third law, with a fundamental yet tacit assumption that all heat…

Statistical Mechanics · Physics 2025-08-12 Q. H. Liu , S. F. Xiao , D. Guo , K. J. Yin

Based on the Euclidean approach, we consider the effects of quantum gravity and mass-less matter on the thermodynamic properties of Schwarzschild black hole. The techniques of effective field theory are utilized to analytically construct…

General Relativity and Quantum Cosmology · Physics 2017-08-11 Basem Kamal El-Menoufi

A way to address the conundrum of Quantum Gravity is to illustrate the potentially fundamental interplay between quantum field theory, curved space-times physics and thermodynamics. So far, when studying moving quantum systems in the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Nathaniel Obadia

We consider a quantum system consisting of a regular chain of elementary subsystems with nearest neighbor interactions and assume that the total system is in a canonical state with temperature $T$. We analyze under what condition the state…

Quantum Physics · Physics 2009-11-11 M. Hartmann , G. Mahler , O. Hess

The third law of black hole dynamics states that the surface gravity (temperature) of black hole cannot be reduced to zero in finite sequence of physical interactions. We argue that the same is true when surface gravity is replaced by…

General Relativity and Quantum Cosmology · Physics 2009-10-30 Naresh Dadhich , K. Narayan

Precise thermometry is of wide importance in science and technology in general and in quantum systems in particular. Here, we investigate fundamental precision limits for thermometry on cold quantum systems, taking into account constraints…

Quantum Physics · Physics 2020-10-02 Mathias R. Jørgensen , Patrick P. Potts , Matteo G. A. Paris , Jonatan B. Brask

The analogy between the laws of black hole mechanics and the laws of thermodynamics led Bekenstein and Hawking to argue that black holes should be considered as real thermodynamic systems that are characterised by entropy and temperature.…

General Relativity and Quantum Cosmology · Physics 2017-02-01 Dimitris Moustos

The absence of a true thermodynamical equilibrium for an observer located in the causal area of a Schwarzschild-de Sitter spacetime has repeatedly raised the question of the correct definition of its temperature. In this work, we consider…

High Energy Physics - Theory · Physics 2017-08-02 Panagiota Kanti , Thomas Pappas

We investigate the thermodynamical properties of black holes in (3+1) and (2+1) dimensional Einstein gravity with a negative cosmological constant. In each case, the thermodynamic internal energy is computed for a finite spatial region that…

General Relativity and Quantum Cosmology · Physics 2009-10-22 J. D. Brown , J. Creighton , R. B. Mann

We purpose an approach for the thermodynamic analysis of rotating and non-linear magnetic-charged black hole with quintessence. Accordingly, we compute various thermodynamics quantities of the black hole, such as mass, temperature,…

General Relativity and Quantum Cosmology · Physics 2019-12-02 Ragil Tsafack Ndongmo , Saleh Mahamat , Thomas Bouetou Bouetou , Timoleon Crepin Kofane
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