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A universal quantum work relation is proved for isolated time-dependent Hamiltonian systems in a magnetic field as the consequence of microreversibility. This relation involves a functional of an arbitrary observable. The quantum Jarzynski…

Statistical Mechanics · Physics 2009-11-13 David Andrieux , Pierre Gaspard

A closed system of the equations for the local Bloch vectors and spin correlation functions is obtained by decomplexification of the Liouville-von Neumann equation for 4 magnetic particles with the exchange interaction that takes place in…

Statistical Mechanics · Physics 2011-07-05 E. A. Ivanchenko

We compare dynamical heterogeneities in equilibrated supercooled liquids and in the nonequilibrium glassy state within the framework of the random first order transition theory. Fluctuating mobility generation and transport in the glass are…

Statistical Mechanics · Physics 2014-01-21 Apiwat Wisitsorasak , Peter G. Wolynes

What is the relation between spin squeezing and entanglement? To clarify this, we derive the full set of generalized spin squeezing inequalities for the detection of entanglement. These are inequalities for the mean values and variances of…

Quantum Physics · Physics 2009-05-08 Geza Toth , Christian Knapp , Otfried Gühne , Hans J. Briegel

The approach to equilibrium is studied for long-range quantum Ising models where the interaction strength decays like r^{-\alpha} at large distances r with an exponent $\alpha$ not exceeding the lattice dimension. For a large class of…

Quantum Physics · Physics 2011-03-31 Michael Kastner

It is shown that the work fluctuations and work distribution functions are fundamentally different in systems with short-range versus long-range correlations. The two cases considered with long- range correlations are magnetic work…

Statistical Mechanics · Physics 2017-07-26 T. R. Kirkpatrick , J. K. Bhattacherjee , J. V. Sengers

The Griffiths inequalities for Ising spin-glass models with Gaussian randomness of non-vanishing mean are proved using properties of the Gaussian distribution and gauge symmetry of the system. These inequalities imply that correlation…

Disordered Systems and Neural Networks · Physics 2009-11-10 Satoshi Morita , Hidetoshi Nishimori , Pierluigi Contucci

Relationships are obtained expressing the breaking of spin-reversal symmetry by an external magnetic field in Gibbsian canonical equilibrium states of spin systems under specific assumptions. These relationships include an exact fluctuation…

Statistical Mechanics · Physics 2015-06-05 Pierre Gaspard

We show that spin systems with infinite-range interactions can violate at thermal equilibrium a multipartite Bell inequality, up to a finite critical temperature $T_c$. Our framework can be applied to a wide class of spin systems and Bell…

Quantum Physics · Physics 2018-11-21 Matteo Fadel , Jordi Tura

We study the thermodynamics of quantum projective measurements by using the set up for the Jarzynski equality. We prove the fluctuations of energy change induced by measurements satisfy the Jarzynski equality, revealing that the quantum…

Statistical Mechanics · Physics 2015-08-31 Juyeon Yi , Yong Woon Kim

A growing body of theoretical and empirical evidence shows that the global steady-state distributions of many equilibrium and nonequilibrium systems approximately satisfy an analogue of the Boltzmann distribution, with a local dynamical…

Statistical Mechanics · Physics 2025-12-03 Jacob Calvert , Dana Randall

Thermodynamics is the phenomenological theory of heat and work. Here we analyze to what extent quantum thermodynamic relations are immune to the underlying mathematical formulation of quantum mechanics. As a main result, we show that the…

Quantum Physics · Physics 2016-04-21 Bartłomiej Gardas , Sebastian Deffner , Avadh Saxena

Entanglement entropy encodes important features of strongly interacting quantum many-body systems and gauge theories, but its analytical study is still limited to systems with high level of symmetry. This motivates the search for efficient…

High Energy Physics - Lattice · Physics 2023-09-28 Andrea Bulgarelli , Marco Panero

We establish a general theory of feedback control on classical stochastic thermodynamic systems, and generalize nonequilibrium equalities such as the fluctuation theorem and the Jarzynski equality in the presence of feedback control with…

Statistical Mechanics · Physics 2015-05-28 Takahiro Sagawa , Masahito Ueda

The past two decades witnessed important developments in the field of non-equilibrium statistical mechanics. Among these developments, the Jarzynski equality, being a milestone following the landmark work of Clausius and Kelvin, stands out.…

Quantum Physics · Physics 2015-06-22 Shuoming An , Jing-Ning Zhang , Mark Um , Dingshun Lv , Yao Lu , Junhua Zhang , Zhang-qi Yin , H. T. Quan , Kihwan Kim

The richness of the mean-field solution of simple glasses leaves many of its features challenging to interpret. A minimal model that illuminates glass physics the same way the random energy model clarifies spin glass behavior would…

Disordered Systems and Neural Networks · Physics 2025-03-14 Gilles Bonnet , Patrick Charbonneau , Giampaolo Folena

In this talk I review some recent developments which shed light on the main connections between structural glasses and mean-field spin glass models with a discontinuous transition. I also discuss the role of quantum fluctuations on the…

Disordered Systems and Neural Networks · Physics 2009-10-28 Felix Ritort

The universal quantum work relation connects a functional of an arbitrary observable averaged over the forward process to the free energy difference and another functional averaged over the time-reversed process. Here, we ask the question…

Quantum Physics · Physics 2012-04-18 Arun Kumar Pati , Mamata Sahoo , Biswajit Pradhan

Generic inhomogeneous steady states in an asymmetric exclusion process on a ring with a pair of point bottlenecks are studied. We show that, due to an underlying universal feature, measurements of coarse-grained steady-state densities in…

Statistical Mechanics · Physics 2014-08-15 Niladri Sarkar , Abhik Basu

It is shown that different pairs of stress-energy and spin tensors of quantum relativistic fields related by a pseudo-gauge transformation, i.e. differing by a divergence, imply different mean values of physical quantities in…

High Energy Physics - Theory · Physics 2013-05-30 F. Becattini , L. Tinti