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Similarity between quantum mechanics and thermodynamics is discussed. It is found that if the Clausius equality is imposed on the Shannon entropy and the analogue of the heat quantity, then the value of the Shannon entropy comes to formally…

统计力学 · 物理学 2015-05-20 Sumiyoshi Abe , Shinji Okuyama

New quantum entropic inequality for states of system of n >_ 1 qudits is obtained. The inequality has the form of quantum subadditivity condition of bipartite qudit system and coincides with this subadditivity condition for the system of…

量子物理 · 物理学 2019-02-12 V. N. Chernega , O. V. Man'ko , V. I. Man'ko

We consider the von Neumann entropy of a thermal mixed state in quantum systems derived from mirror curves, where the kinetic terms are exponential functions of the momentum operators. Using the mathematical results on the asymptotics of…

高能物理 - 理论 · 物理学 2023-10-10 Min-xin Huang

We introduce a well-defined and unbiased measure of the strength of correlations in quantum many-particle systems which is based on the relative von Neumann entropy computed from the density operator of correlated and uncorrelated states.…

强关联电子 · 物理学 2015-05-30 K. Byczuk , J. Kunes , W. Hofstetter , D. Vollhardt

A microscopic understanding of the thermodynamic entropy in quantum systems has been a mystery ever since the invention of quantum mechanics. In classical physics, this entropy is believed to be the logarithm of the volume of phase space…

量子物理 · 物理学 2013-05-08 J. M. Deutsch , Haibin Li , Auditya Sharma

The proper definition of entropy is fundamental to the relationship between statistical mechanics and thermodynamics. It also plays a major role in the recent debate about the validity of the concept of negative temperature. In this paper,…

统计力学 · 物理学 2015-11-18 Robert H. Swendsen

Results on heat current, entropy production rate and entanglement are reported for a quantum system coupled to two different temperature heat reservoirs. By applying a temperature gradient, different quantum states can be found with exactly…

介观与纳米尺度物理 · 物理学 2013-05-29 Luis Quiroga , Ferney J. Rodriguez , Maria E. Ramirez , Roberto Paris

Entropy is one of the central quantities in thermodynamics, whose flow between two systems determines the statistics of energy transfers. In quantum systems entropy is non-linear in density matrix whose time evolution is cumbersome. Using…

介观与纳米尺度物理 · 物理学 2019-12-06 Mohammad H. Ansari

Renyi entropy associated with spin tomograms of quantum states is shown to obey to new inequalities containing the dependence on quantum Fourier transform. The limiting inequality for the von Neumann entropy of spin quantum states and a new…

量子物理 · 物理学 2015-05-13 M. A. Man'ko , V. I. Man'ko

It is shown that the von Neumann entropy, a measure of quantum entanglement, does have its classical counterpart in thermodynamic systems, which we call partial entropy. Close to the critical temperature the partial entropy shows perfect…

强关联电子 · 物理学 2009-11-11 Junpeng Cao , Xiaoling Cui , Zhang Qi , Wengang Lu , Qian Niu , Yupeng Wang

We numerically determine the entropy for heat-conducting states, which is connected to the so-called excess heat considered as a basic quantity for steady-state thermodynamics in nonequilibrium. We adopt an efficient method to estimate the…

统计力学 · 物理学 2016-08-17 Yoshiyuki Chiba , Naoko Nakagawa

The thermodynamic limit of the internal energy and the entropy of the system of quantum interacting particles in random medium is shown to exist under the crucial requirements of stability and temperedness of interactions. The energy turns…

数学物理 · 物理学 2012-01-24 Nikolaj A. Veniaminov

We consider three von Neumann entropy inequalities: subadditivity; Pinsker's inequality for relative entropy; and the monotonicity of relative entropy. For these we state conditions for equality, and we prove some new error bounds away from…

量子物理 · 物理学 2014-10-21 Eric A. Carlen , Elliott H. Lieb

Low-capacitance Josephson junction systems as well as coupled quantum dots, in a parameter range where single charges can be controlled, provide physical realizations of quantum bits, discussed in connection with quantum computing. The…

介观与纳米尺度物理 · 物理学 2007-05-23 Alexander Shnirman , Gerd Schoen

We prove the conditional Entropy Power Inequality for Gaussian quantum systems. This fundamental inequality determines the minimum quantum conditional von Neumann entropy of the output of the beam-splitter or of the squeezing among all the…

数学物理 · 物理学 2018-06-04 Giacomo De Palma , Dario Trevisan

This is the continuation of cond-mat/0505084. Elementary formulas are derived for the flow of entropy through a circuit junction in a near-critical quantum circuit, based on the structure of the energy-momentum tensor at the junction. The…

统计力学 · 物理学 2019-02-01 Daniel Friedan

The state function entropy and its quantum thermodynamical implication for two typical dissipative systems with anomalous spectral densities are studied by investigating on their low-temperature quantum behavior. In all cases it is found…

统计力学 · 物理学 2015-06-03 Chun-Yang Wang , An-Qi Zhao , Xiang-Mu Kong , Jing-Dong Bao

The Josephson junction phase qubit has been shown to be a viable candidate for quantum computation. In recent years, the two coupled phase system has been extensively studied theoretically and experimentally. We have analyzed the quantum…

超导电性 · 物理学 2009-08-21 Zechariah E. Thrailkill , S. T. Kennerly , R. C. Ramos

We consider information characteristics of single qudit state (spin j=9/2), such as von Neumann entropy, von Neumann mutual information. We review different mathematical properties of these information characteristics: subadditivity and…

量子物理 · 物理学 2018-07-03 V. I. Manko , T. Sabyrgaliyev

In systems undergoing second order phase transitions, the temperature integral of the specific heat over temperature from zero to the critical temperature is the same in both the normal and ordered phases. This entropy balance relates the…

高能物理 - 理论 · 物理学 2015-06-09 Sean A. Hartnoll , Razieh Pourhasan