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First passage time experiments were used to explore the effects of low amplitude noise as a source of accelerated phase space diffusion in two-dimensional Hamiltonian systems, and these effects were then compared with the effects of…

Astrophysics · Physics 2009-10-31 Ilya V. Pogorelov , Henry E. Kandrup

We study slow dynamics of particles moving in a matrix of immobile obstacles using molecular dynamics simulations. The glass transition point decreases drastically as the obstacle density increases. At higher obstacle densities, the…

Soft Condensed Matter · Physics 2009-11-17 Kang Kim , Kunimasa Miyazaki , Shinji Saito

We investigate dissipation-driven topological phase transitions in one-dimensional quantum open systems governed by the Lindblad equation with linear dissipation operators, which ensure the density matrix retains its Gaussian form…

Quantum Physics · Physics 2026-01-27 Tian-Shu Deng , Fan Yang

We use an effective Hamiltonian to characterize particle dynamics and find escape rates in a periodically kicked Hamiltonian. We study a model of particles in storage rings that is described by a chaotic symplectic map. Ignoring the…

Statistical Mechanics · Physics 2017-07-31 Archishman Raju , Sayan Choudhury , David L. Rubin , Amie Wilkinson , James P. Sethna

We treat analytically a model that captures several features of the phenomenon of spatially inhomogeneous reversal of an order parameter. The model is a classical Ginzburg-Landau field theory restricted to a bounded one-dimensional spatial…

Statistical Mechanics · Physics 2007-05-23 Robert S. Maier , D. L. Stein

The aim of this work is to study the dynamics of quantum systems subjected to a localized fermionic source in the presence of bulk dephasing. We consider two classes of one-dimensional lattice systems: (i) a non-interacting lattice with…

Quantum Physics · Physics 2025-11-04 Tamoghna Ray , Katha Ganguly , Dario Poletti , Manas Kulkarni , Bijay Kumar Agarwalla

Using random matrices, we study the reduced dynamics of a two level system interacting with a generic environment. In the weak coupling limit, the result can be obtained directly from known results for purity decay, and result in Markovian…

Quantum Physics · Physics 2016-02-01 Nephtalí Garrido , Thomas Gorin , Carlos Pineda

This paper summarises a numerical investigation of phase mixing in time-independent Hamiltonian systems that admit a coexistence of regular and chaotic phase space regions, allowing also for low amplitude perturbations idealised as periodic…

Astrophysics · Physics 2007-05-23 Henry E. Kandrup , Steven J. Novotny

We study generic open quantum systems with Markovian dissipation, focusing on a class of stochastic Liouvillian operators of Lindblad form with independent random dissipation channels (jump operators) and a random Hamiltonian. We establish…

Quantum Physics · Physics 2020-08-07 Lucas Sá , Pedro Ribeiro , Tomaž Prosen

The local density of states or its Fourier transform, usually called fidelity amplitude, are important measures of quantum irreversibility due to imperfect evolution. In this Rapid Communication we study both quantities in a paradigmatic…

Quantum Physics · Physics 2015-06-15 D. A. Wisniacki , A. Roncaglia

We address the effects of dissipative defects giving rise to a localized particle loss, in one-dimensional non-interacting lattice fermionic gases confined within a region of size $\ell$. We consider homogeneous systems within hard walls…

Quantum Gases · Physics 2022-05-10 Francesco Tarantelli , Ettore Vicari

We study the critical behavior of the nonequilibrium dynamics and of the steady states emerging from the competition between coherent and dissipative dynamics close to quantum phase transitions. The latter is induced by the coupling of the…

Statistical Mechanics · Physics 2019-11-26 Davide Rossini , Ettore Vicari

The dynamical behavior of open quantum systems plays a key role in many applications of quantum mechanics, examples ranging from fundamental problems, such as the environment-induced decay of quantum coherence and relaxation in many-body…

Quantum Physics · Physics 2016-05-04 Heinz-Peter Breuer , Elsi-Mari Laine , Jyrki Piilo , Bassano Vacchini

Quantum phase transitions are a cornerstone of many-body physics at low temperatures but have remained elusive far from equilibrium. Driven open quantum systems -- a prominent non-equilibrium platform where coherent dynamics competes with…

Quantum Gases · Physics 2025-05-30 Naushad A. Kamar , Mostafa Ali , Mohammad Maghrebi

Quantum systems are prone to decoherence due to both intrinsic interactions as well as random fluctuations from the environment. Using the Pechukas-Yukawa formalism, we investigate the influence of noise on the dynamics of an adiabatically…

Statistical Mechanics · Physics 2018-08-01 Mumnuna A. Qureshi , Johnny Zhong , Peter Mason , Joseph J. Betouras , Alexandre M. Zagoskin

While limitations on quantum computation by Markovian environmental noise are well-understood in generality, their behavior for different quantum circuits and noise realizations can be less universal. Here we consider a canonical quantum…

Quantum Physics · Physics 2025-04-15 Sasanka Dowarah , Chuanwei Zhang , Vedika Khemani , Michael H. Kolodrubetz

We consider the problem of stochastic averaging of a quantum two-state dynamics driven by non-Markovian, discrete noises of the continuous time random walk type (multistate renewal processes). The emphasis is put on the proper averaging…

Statistical Mechanics · Physics 2007-06-13 Igor Goychuk , Peter Hanggi

A stochastic approach to the quantum dynamics randomly modulated in time by a discrete state non-Markovian noise, which possesses an arbitrary non-exponential distribution of the residence times, is developed. The formally exact expression…

Statistical Mechanics · Physics 2007-05-23 Igor Goychuk

We study spectral and steady-state properties of generic Markovian dissipative systems described by quadratic fermionic Liouvillian operators of the Lindblad form. The Hamiltonian dynamics is modeled by a generic random quadratic operator,…

Statistical Mechanics · Physics 2023-10-16 João Costa , Pedro Ribeiro , Andrea de Luca , Tomaž Prosen , Lucas Sá

We theoretically study the dynamical dephasing of a quantum two level system interacting with an environment exhibiting non-Markovian random telegraph fluctuations. The time evolution of the conditional probability of the environmental…

Quantum Physics · Physics 2020-01-10 Xiangji Cai