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We investigate the relaxation dynamics of the fermion two-point correlation function $C_{mn}(t)=\langle\psi(t)|c_{m}^{\dag}c_{n}|\psi(t)\rangle$ in the XY chain with staggered nearest-neighbor hopping interaction after a quench. We find…

Statistical Mechanics · Physics 2024-11-19 Kaiyuan Cao , Yayun Hu , Peiqing Tong , Guangwen Yang , Peng Liu

We extend the framework of forward and reverse processes commonly utilized in the derivation and analysis of the nonequilibrium work relations to thermodynamic processes with repeated discrete feedback. Within this framework, we derive a…

Statistical Mechanics · Physics 2010-12-16 Jordan M. Horowitz , Suriyanarayanan Vaikuntanathan

This thesis is devoted to the study of dynamical properties of diluted models. These are mean field statistical mechanics systems, but with finite local connectivity. Among other reasons, the interest for these models arises from their deep…

Disordered Systems and Neural Networks · Physics 2007-05-23 Guilhem Semerjian

Quantum critical states exhibit strong quantum fluctuations and are therefore highly susceptible to perturbations. In this work we study the dynamical stability against a sudden coupling to these strong fluctuations by quenching the order…

Statistical Mechanics · Physics 2017-02-21 Markus Heyl

We study Brownian motion driven with both conservative and nonconservative external forces. By using the thermodynamic approach of the theory of Brownian motion we obtain the Fokker-Planck equation and derive expressions for the Fluctuation…

Statistical Mechanics · Physics 2009-11-13 A. Perez-Madrid , I. Santamaria-Holek

We study two different forms of fluctuation-dissipation processes generating anomalous relaxations to equilibrium of an initial out of equilibrium condition, the former being based on a stationary although very slow correlation function and…

Data Analysis, Statistics and Probability · Physics 2017-10-18 Rohisha Tuladhar , Mauro Bologna , Paolo Grigolini

A modified fluctuation-dissipation-theorem (MFDT) for a non-equilibrium steady state (NESS) is experimentally checked by studying the position fluctuations of a colloidal particle whose motion is confined in a toroidal optical trap. The…

We utilize the chiral kinetic theory in a relaxation-time approximation to investigate the nonlinear anomalous responses of chiral fluids with viscous effects. Unlike the cases in equilibrium, it is found that the chiral magnetic effect and…

High Energy Physics - Theory · Physics 2018-08-01 Yoshimasa Hidaka , Di-Lun Yang

The non-equilibrium dynamics of an isolated quantum system after a sudden quench to a dynamical critical point is expected to be characterized by scaling and universal exponents due to the absence of time scales. We explore these features…

Statistical Mechanics · Physics 2015-11-04 Anna Maraga , Alessio Chiocchetta , Aditi Mitra , Andrea Gambassi

We show that for stochastic dynamical systems out of equilibrium the violation of the fluctuation-dissipation equality is bounded by a function of the entropy production. The result applies to a much wider situation than `near equilibrium',…

Statistical Mechanics · Physics 2009-01-23 Leticia F. Cugliandolo , David S. Dean , Jorge Kurchan

The generic non-equilibrium evolution of a strongly interacting fermionic system is studied. For strong quenches, a collective collapse-and-revival phenomenon is found extending over the whole Brillouin zone. A qualitatively distinct…

Strongly Correlated Electrons · Physics 2014-03-14 Simone A. Hamerla , Götz S. Uhrig

Quantum criticality provides a means to understand the apparent non-Fermi liquid phenomena in correlated electron systems. How to properly describe quantum critical points in electronic systems has however been poorly understood. The issues…

Strongly Correlated Electrons · Physics 2009-11-07 Qimiao Si

Dispersion forces between neutral material bodies are due to fluctuations of the polarization of the bodies. For bodies in equilibrium these forces are often referred to as Casimir-Lifshitz forces. For bodies in relative motion, in addition…

Quantum Physics · Physics 2022-09-12 Iver Brevik , Boris Shapiro , Mário Silveirinha

Monte Carlo simulations of the short-time dynamic behavior are reported for three-dimensional Heisenberg model with long-range correlated disorder at criticality, in the case corresponding to linear defects. The static and dynamic critical…

Disordered Systems and Neural Networks · Physics 2012-10-05 Pavel V. Prudnikov , Maria A. Medvedeva

The ground state of a phase-coherent mesoscopic system is sensitive to its environment. We investigate the persistent current of a ring with a quantum dot which is capacitively coupled to an external circuit with a dissipative impedance. At…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Pascal Cedraschi , Vadim V. Ponomarenko , Markus Buttiker

Fluctuation theorems are fundamental extensions of the second law of thermodynamics for small nonequilibrium systems. While work and heat are equally important forms of energy exchange, fluctuation relations have not been experimentally…

Statistical Mechanics · Physics 2022-02-24 Markus Rademacher , Michael Konopik , Maxime Debiossac , David Grass , Eric Lutz , Nikolai Kiesel

We discuss the interplay between the degree of dynamical stochasticity, memory persistence and violation of the self-averaging property in the aging kinetics of quenched ferromagnets. We show that, in general, the longest possible memory…

Statistical Mechanics · Physics 2020-08-26 Federico Corberi , Eugenio Lippiello , Paolo Politi

Driven-dissipative systems are expected to give rise to non-equilibrium phenomena that are absent in their equilibrium counterparts. However, phase transitions in these systems generically exhibit an effectively classical equilibrium…

Quantum Gases · Physics 2020-02-28 Jeremy T. Young , Alexey V. Gorshkov , Michael Foss-Feig , Mohammad F. Maghrebi

Investigation of materials that exhibit quantum phase transition provides valuable insights into fundamental problems in physics. We present neutron scattering under pressure in a triangular-lattice antiferromagnet which has a quantum…

We demonstrate that in a class of disordered quantum systems the dynamical partition function is not an analytical function in a time window after certain quantum quenches. We related this behavior to rare and large regions with atypical…

Statistical Mechanics · Physics 2022-10-11 José A. Hoyos , R. F. P. Costa , J. C. Xavier