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Adiabatic processes in the quantum Ising model and the anisotropic Heisenberg model are discussed. The adiabatic processes are assumed to consist in the slow variation of the strength of the magnetic field that environs the spin-systems.…

Quantum Physics · Physics 2009-11-10 V. Murg , J. I. Cirac

We consider the problem of preparing thermal equilibrium states at finite temperature on quantum computers. Assuming thermalization, we show that states that are locally at thermal equilibrium can be prepared by evolving adiabatically an…

Quantum Physics · Physics 2026-04-21 Etienne Granet , Henrik Dreyer

It is argued that a typical many body energy eigenstate has a well defined thermodynamic entropy and that individual eigenstates possess thermodynamic characteristics analogous to those of generic isolated systems. We examine large systems…

Statistical Mechanics · Physics 2015-05-14 J. M. Deutsch

The paper concerns the construction of a compressible liquid-vapor relaxation model which is able to capture the metastable states of the non isothermal van der Waals model as well as saturation states. Starting from the Gibbs formalism, we…

Analysis of PDEs · Mathematics 2019-11-01 Hala Ghazi , Francois James , Hélène Mathis

Using the recently derived Dissipation Theorem and a corollary of the Transient Fluctuation Theorem (TFT), namely the Second Law Inequality, we derive the unique time independent, equilibrium phase space distribution function for an ergodic…

Statistical Mechanics · Physics 2015-05-13 Denis J. Evans , Debra J. Searles , Stephen R. Williams

We consider the entropy production of a strongly coupled bipartite system. The total entropy production can be partitioned into various components, which we use to define local versions of the Second Law that are valid without the usual…

Statistical Mechanics · Physics 2022-09-29 Gavin E. Crooks , Susanne E. Still

The interrelation of dynamic processes active on separated time-scales in glasses and viscous liquids is investigated using a model displaying two time-scale bifurcations both between fast and secondary relaxation and between secondary and…

Disordered Systems and Neural Networks · Physics 2015-03-19 Andrea Crisanti , Luca Leuzzi , Matteo Paoluzzi

It is generally believed that a generic system can be reversibly transformed from one state into another by sufficiently slow change of parameters. A standard argument favoring this assertion is based on a possibility to expand the energy…

Statistical Mechanics · Physics 2008-11-26 Anatoli Polkovnikov , Vladimir Gritsev

Suppressing undesired nonunitary effects is a major challenge in quantum computation and quantum control. In this work, by considering the adiabatic dynamics in presence of a surrounding environment, we theoretically and experimentally…

We study the statistics of thermodynamic quantities in two related systems with quenched disorder: A (1+1)-dimensional planar lattice of elastic lines in a random potential and the 2-dimensional random bond dimer model. The first system is…

Disordered Systems and Neural Networks · Physics 2009-11-10 Simon Bogner , Thorsten Emig , Ahmed Taha , Chen Zeng

A quantum thermodynamic cycle with a chiral multiferroic working substance such as $\textrm{LiCu}_{2}\textrm{O}_{2}$ is presented. Shortcuts to adiabaticity are employed to achieve an efficient, finite time quantum thermodynamic cycle which…

Quantum Physics · Physics 2016-09-22 L. Chotorlishvili , M. Azimi , S. Stagraczyński , Z. Toklikishvili , M. Schüler , J. Berakdar

Second law of thermodynamics can be apparently violated for systems whose dynamics depends on acquired information by measurement. However, when one consider measurement and erasure process together along with the system it saves the second…

Statistical Mechanics · Physics 2016-11-08 Shubhashis Rana , A. M. Jayannavar

We extend the definition of non-adiabatic entropy production given for Markovian systems in [M. Esposito and C. Van den Broeck, Phys. Rev. Lett. 104 090601, (2010)], to arbitrary non-Markov ergodic dynamics. We also introduce a notion of…

Statistical Mechanics · Physics 2012-09-14 Reinaldo García-García

We consider the response of a dynamical system driven by external adiabatic fluctuations. Based on the `adiabatic following approximation' we have made a systematic separation of time-scales to carry out an expansion in $\alpha |\mu|^{-1}$,…

Statistical Mechanics · Physics 2009-10-31 S. K. Banik , J. R. Chaudhuri , D. S. Ray

We investigate how to minimize the work dissipated during nonequilibrium processes. To this end, we employ methods from linear response theory to describe slowly varying processes, i.e., processes operating within the linear regime around…

Statistical Mechanics · Physics 2014-07-03 Marcus V. S. Bonança , Sebastian Deffner

To optimize the performance of a heat engine in finite-time cycle, it is important to understand the finite-time effect of thermodynamic processes. Previously, we have shown that extra work is needed to complete a quantum adiabatic process…

Quantum Physics · Physics 2019-10-09 Jin-Fu Chen , Chang-Pu Sun , Hui Dong

Adiabatic passage employs a slowly varying time-dependent Hamiltonian to control the evolution of a quantum system along the Hamiltonian eigenstates. For processes of finite duration, the exact time evolving state may deviate from the…

Quantum Physics · Physics 2021-06-18 Albert Benseny , Klaus Mølmer

The experimental time scale dependence of thermodynamic relations in out-of-equilibrium systems with aging phenomena is investigated theoretically by using only aging properties of the two-time correlation functions and the generalized…

Disordered Systems and Neural Networks · Physics 2009-10-31 Mitsuhiro Kawasaki

Non-adiabatic transitions in multilevel systems appear in various fields of physics, but it is not easy to analyze their dynamics in general. In this paper, we propose to extend the adiabatic impulse approximation to multilevel systems.…

Quantum Physics · Physics 2022-03-02 Takayuki Suzuki , Hiromichi Nakazato

The competition between evolution time, interaction strength, and temperature challenges our understanding of many-body quantum systems out-of-equilibrium. Here we consider a benchmark system, the Hubbard dimer, which allows us to explore…

Quantum Physics · Physics 2018-11-14 Marcela Herrera , Krissia Zawadzki , Irene D'Amico
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