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To describe the slow dynamics of a system out of equilibrium, but close to a dynamical arrest, we generalize the ideas of previous work to the case where time-translational invariance is broken. We introduce a model of the dynamics that is…

Disordered Systems and Neural Networks · Physics 2016-08-31 P. De Gregorio , F. Sciortino , P. Tartaglia , E. Zaccarelli , K. A. Dawson

We study the asymptotic entanglement of two quantum harmonic oscillators nonlinearly coupled to an environment. Coupling to independent baths and a common bath are investigated. Numerical results obtained using the Wangsness-Bloch-Redfield…

Mesoscale and Nanoscale Physics · Physics 2015-07-15 Aurora Voje , Alexander Croy , Andreas Isacsson

We consider a system-reservoir model where the reservoir is modulated by an external noise. Both the internal noise of the reservoir and the external noise are stationary, Gaussian and are characterized by arbitrary decaying correlation…

Statistical Mechanics · Physics 2009-11-07 Jyotipratim Ray Chaudhuri , Suman Kumar Banik , Bidhan Chandra Bag , Deb Shankar Ray

We consider a three-terminal system with a chiral edge channel connecting the source and drain terminals. Charge can tunnel between the chiral edge and a third terminal. The third terminal is maintained at a different temperature and…

Statistical Mechanics · Physics 2015-05-27 Chenjie Wang , D. E. Feldman

We consider classical nonlinear oscillators on hexagonal lattices. When the coupling between the elements is repulsive, we observe coexisting states, each one with its own basin of attraction. These states differ by their degree of…

Adaptation and Self-Organizing Systems · Physics 2015-06-16 F. Ionita , D. Labavic , M. A. Zaks , H. Meyer-Ortmanns

We calculate the radiation noise level associated with the spontaneous emission of a coherently driven medium. The significant field-induced modification of relation between the noise power and damping constant in a thermal reservoir is…

Quantum Physics · Physics 2016-04-13 Maria Erukhimova , Mikhail Tokman

A nonlinear electromagnetic scattering problem is studied in the presence of bound states in the radiation continuum. It is shown that the solution is not analytic in the nonlinear susceptibility and the conventional perturbation theory…

Mathematical Physics · Physics 2012-03-12 Friends Remy Ndangali , Sergei V. Shabanov

We consider the non-equilibrium zero frequency noise generated by a temperature gradient applied on a device composed of two normal leads separated by a quantum dot. We recall the derivation of the scattering theory for non-equilibrium…

Mesoscale and Nanoscale Physics · Physics 2022-03-14 A. Popoff , J. Rech , T. Jonckheere , L. Raymond , B. Grémaud , S. Malherbe , T. Martin

We introduce a novel reservoir engineering approach for stabilizing multi-component Schr\"odinger's cat manifolds. The fundamental principle of the method lies in the destructive interference at crossings of gain and loss Hamiltonian terms…

Quantum Physics · Physics 2026-03-17 Ivan Rojkov , Matteo Simoni , Elias Zapusek , Florentin Reiter , Jonathan Home

In [2] it has been proved that a linear Hamiltonian lattice field perturbed by a conservative stochastic noise belongs to the 3/2-L\'evy/Diffusive universality class in the nonlinear fluctuating theory terminology [15], i.e. energy…

Mathematical Physics · Physics 2018-08-01 Cédric Bernardin , Patricia Gonçalves , Milton Jara , Marielle Simon

The fluctuation-dissipation relation (FDR) links thermal fluctuations and dissipation at thermal equilibrium through temperature. Extending it beyond equilibrium conditions in pursuit of broadening thermodynamics is often feasible, albeit…

Statistical Mechanics · Physics 2025-02-04 Dima Boriskovsky , Benjamin Lindner , Yael Roichman

We study an exclusion process on a ring comprising a free defect particle in a bath of normal particles. The model is one of the few integrable cases in which the bath particles are partially asymmetric. The presence of the free defect…

Statistical Mechanics · Physics 2024-02-26 Ivan Lobaskin , Martin R Evans , Kirone Mallick

We investigate the macroscopic behavior of the disordered harmonic chain of oscillators, through energy diffusion. The Hamiltonian dynamics of the system is perturbed by a degenerate conservative noise. After rescaling space and time…

Probability · Mathematics 2020-10-23 Clément Erignoux , Marielle Simon

Here we present a model for a small system combined with an explicit entropy bath that is comparably small. The dynamics of the model is defined by a simple matrix, M. Each row of M corresponds to a macrostate of the system, e.g. net…

In this paper, we offer to the reader an essential review of the theory of Fluctuation-Dissipation Relations (FDR), from the first formulations due to Einstein and Onsager, to the recent developments in the framework of stochastic…

Statistical Mechanics · Physics 2022-12-07 Marco Baldovin , Lorenzo Caprini , Andrea Puglisi , Alessandro Sarracino , Angelo Vulpiani

We consider the application of the Fluctuation Dissipation Theorem (FDT) to the electrodynamics of Aharonov-Bohm (ABE), which differs from Maxwell's in that it allows for local non-conservation of charge. For the case of a system of…

General Physics · Physics 2026-04-20 F. Minotti , G. Modanese

For a coherent quantum mechanical two-level system driven with a linearly time-dependent detuning, the Landau-Zener model has served over decades as a textbook model of quantum dynamics. A particularly intriguing question is whether that…

Quantum Gases · Physics 2020-09-16 Xingran Xu , Zhidong Zhang , Zhaoxin Liang

The analysis of charge noise based on the Bloch-Redfield treatment of an ensemble of dissipative two-level fluctuators generally results in a violation of the fluctuation-dissipation theorem. The standard Markov approximation (when applied…

Quantum Physics · Physics 2021-01-19 Xinyuan You , Aashish A. Clerk , Jens Koch

The dissipative quantum dynamics of an anharmonic oscillator coupled to a bath is studied with the purpose of elucidating the differences between the relaxation to a spin bath and to a harmonic bath. Converged results are obtained for the…

Quantum Physics · Physics 2007-05-23 D. Gelman , C. P. Koch , R. Kosloff

We consider a system in direct contact with a thermal reservoir and which, if left unperturbed, is well described by a memory-less equilibrium Langevin equation of the second order in the time coordinate. In such conditions, the strength of…

Statistical Mechanics · Physics 2015-05-13 Paolo De Gregorio , Lamberto Rondoni , Michele Bonaldi , Livia Conti