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We sketch some connecting relations involving fractional and quantum calculi, fractal structure, thermodynamics, and quantum mechanics.

综合物理 · 物理学 2012-11-20 Robert Carroll

The exactly solvable model of a one dimensional isotropic XY spin chain is employed to study the thermodynamics of open systems. For this purpose the chain is subdivided into two parts, one part is considered as the system while the rest as…

统计力学 · 物理学 2010-10-14 Michele Campisi , David Zueco , Peter Talkner

The role of quantum entanglement in thermodynamical systems remains elusive. Does entanglement result in thermodynamic advantages or does it impose fundamental limitations? Here, we unambiguously quantify the amount of heat and work in a…

量子物理 · 物理学 2026-03-23 Joan Alba , Laura Ares , Jan Sperling , Julien Pinske

The first law of thermodynamics imposes not just a constraint on the energy-content of systems in extreme quantum regimes, but also symmetry-constraints related to the thermodynamic processing of quantum coherence. We show that this…

量子物理 · 物理学 2015-04-15 Matteo Lostaglio , Kamil Korzekwa , David Jennings , Terry Rudolph

We provide a characterization of energy in the form of exchanged heat and work between two interacting constituents of a closed, bipartite, correlated quantum system. By defining a binding energy we derive a consistent quantum formulation…

量子物理 · 物理学 2016-10-25 S. Alipour , F. Benatti , F. Bakhshinezhad , M. Afsary , S. Marcantoni , A. T. Rezakhani

Isotropic XY is considered. It describes interaction of quantum spins on 1-dimesional lattice. Alternatevly one can call the model XXO Hiesenberg antiferromagnet. We solved long standing problem of evaluation of temperature corelations. We…

高能物理 - 理论 · 物理学 2009-10-22 A. R. Its , A. G. Izergin , V. E. Korepin , N. A. Slavnov

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 non-equilibrium situations, and with the full…

量子物理 · 物理学 2017-07-05 Sai Vinjanampathy , Janet Anders

Quantum thermodynamics and quantum information are two frameworks for employing quantum mechanical systems for practical tasks, exploiting genuine quantum features to obtain advantages with respect to classical implementations. While…

量子物理 · 物理学 2019-05-28 Giuseppe Vitagliano , Claude Klöckl , Marcus Huber , Nicolai Friis

A short introduction on quantum thermodynamics is given and three new topics are discussed: 1) Maximal work extraction from a finite quantum system. The thermodynamic prediction fails and a new, general result is derived, the ``ergotropy''.…

介观与纳米尺度物理 · 物理学 2009-11-10 A. E. Allahverdyan , R. Balian , Th. M. Nieuwenhuizen

The relationship between thermodynamics and statistical physics is valid in the thermodynamic limit - when the number of particles becomes very large. Here, we study thermodynamics in the opposite regime - at both the nano scale, and when…

量子物理 · 物理学 2014-10-28 Michał Horodecki , Jonathan Oppenheim

We present a consistent thermodynamic theory for the resonant level model in the wide band limit, whose level energy is driven slowly by an external force. The problem of defining 'system' and 'bath' in the strong coupling regime is…

介观与纳米尺度物理 · 物理学 2017-05-05 Anton Bruch , Mark Thomas , Silvia Viola Kusminskiy , Felix von Oppen , Abraham Nitzan

Correlation effects in nuclear matter at finite temperatures are studied for subnuclear densities ($\rho<\rho_0$) and medium excitation energy, where a nonrelativistic potential approach is possible. A quantum statistical approach is given,…

核理论 · 物理学 2009-10-31 G. Roepke , A. Schnell

The consistent definition of the thermodynamic functions of small open quantum systems in contact with an environment in equilibrium with a heat bath has been the subject of many debates in the quantum community. In the present work we…

量子物理 · 物理学 2020-10-30 Jean Richert , Tarek Khalil

The quantum-mechanical and thermodynamic properties of a 3-level molecular cooling cycle are derived. An inadequacy of earlier models is rectified in accounting for the spontaneous emission and absorption associated with the coupling to the…

量子物理 · 物理学 2009-11-07 Jose P. Palao , Ronnie Kosloff , Jeffrey M. Gordon

We compute the quantum correlation (quantum discord (QD)) and the entanglement (EoF) between nearest neighbor qubits (spin-1/2) in an infinite chain described by the Heisenberg model (XXZ Hamiltonian) at finite temperatures. The chain is in…

量子物理 · 物理学 2015-05-19 T. Werlang , C. Trippe , G. A. P. Ribeiro , Gustavo Rigolin

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 processes can then be defined as paths on this…

统计力学 · 物理学 2009-11-13 Jan Birjukov , Thomas Jahnke , Günter Mahler

A general expression for the temperature of a finite-dimensional quantum system is deduced from thermodynamic arguments. At equilibrium, this magnitude coincides with the standard thermodynamic temperature. Furthermore, it is well-defined…

量子物理 · 物理学 2020-05-04 Andrés Vallejo , Alejandro Romanelli , Raúl Donángelo

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…

量子物理 · 物理学 2019-07-10 Patrick P. Potts , Jonatan Bohr Brask , Nicolas Brunner

One of the principal objectives of quantum thermodynamics is to explore quantum effects and their potential beneficial role in thermodynamic tasks like work extraction or refrigeration. So far, even though several papers have already shown…

量子物理 · 物理学 2019-04-22 C. L. Latune , I. Sinayskiy , F. Petruccione

We construct a rigourous model of quantum measurement. A two-state model of a negative temperature amplifier, such as a laser, is taken to a classical thermodynamic limit. In the limit, it becomes a classical measurement apparatus obeying…

量子物理 · 物理学 2007-05-23 Joseph F. Johnson