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We analyze the static and dynamical properties of two Ising-coupled quantum spins embedded in a common bosonic bath as an archetype of dissipative quantum mechanics. First, we elucidate the ground state phase diagram for an ohmic and a…

Mesoscale and Nanoscale Physics · Physics 2010-12-02 Peter P. Orth , David Roosen , Walter Hofstetter , Karyn Le Hur

In the NISQ era, where quantum information processing is hindered by the decoherence and dissipation of elementary quantum systems, developing new protocols to extend the lifetime of quantum states is of considerable practical and…

Quantum Physics · Physics 2025-03-12 Colin Read , Eduardo Serrano-Ensástiga , John Martin

We consider a system of hierarchical interacting spins under dynamics of spin-flip type with a ferromagnetic mean field interaction, scaling with the hierarchical distance, coupled with a system of linearly interacting hierarchical…

Probability · Mathematics 2019-10-31 Paolo Dai Pra , Marco Formentin , Guglielmo Pelino

We address the real-time dynamics of lattice quantum spin models coupled to single or multiple Markovian dissipative reservoirs using the method of closed hierarchies of correlation functions. This approach allows us to solve a number of…

Quantum Physics · Physics 2017-08-09 D. Mesterházy , F. Hebenstreit

In general we are interested in dynamical systems coupled to complex hysteresis. Therefore as a first step we investigated recently the dynamics of a periodically driven damped harmonic oscillator coupled to independent Ising spins in a…

Chaotic Dynamics · Physics 2021-12-08 Paul Zech , Andreas Otto , Günter Radons

We reformulate the full quantum dynamics of spin systems using a phase space representation based on SU(2) coherent states which generates an exact mapping of the dynamics of any spin system onto a set of stochastic differential equations.…

Statistical Mechanics · Physics 2013-10-10 Ray Ng , Piotr Deuar , Erik Sorensen

We apply the generalized Wigner function formalism to detect and characterize a range of quantum phase transitions in several cyclic, finite-length, spin-$\frac{1}{2}$ one-dimensional spin-chain models, viz., the Ising and anisotropic $XY$…

Quantum Physics · Physics 2023-10-03 N. M. Millen , R. P. Rundle , J. H. Samson , Todd Tilma , R. F. Bishop , M. J. Everitt

We numerically study the dynamics and stationary states of a spin ensemble strongly coupled to a single-mode resonator subjected to loss and external driving. Employing a generalized cumulant expansion approach we analyze finite-size…

Quantum Physics · Physics 2019-08-06 Matthias Zens , Dmitry O. Krimer , Stefan Rotter

In topology, one averages over local geometrical details to reveal robust global features. This approach proves crucial for understanding quantized bulk transport and exotic boundary effects of linear wave propagation in (meta-)materials.…

Mesoscale and Nanoscale Physics · Physics 2024-06-25 Greta Villa , Javier del Pino , Vincent Dumont , Gianluca Rastelli , Mateusz Michałek , Alexander Eichler , Oded Zilberberg

Motivated by quantum gravity, semi-classical theory, and quantum theory on curved spacetimes, we study the system of an oscillator coupled to two spin-1/2 particles. This model provides a prototype for comparing three types of dynamics: the…

Quantum Physics · Physics 2022-09-21 Viqar Husain , Irfan Javed , Suprit Singh

A stochastic representation of the dynamics of open quantum systems, suitable for non-perturbative system-reservoir interaction, non-Markovian effects and arbitrarily driven systems is presented. It includes the case of driving on…

Statistical Mechanics · Physics 2016-10-05 Jürgen T. Stockburger

The study of non-equilibrium dynamics is one of the most important challenges of modern quantum many-body physics, in relationship with fundamental questions in quantum statistical mechanics, as well as with the fields of quantum simulation…

Quantum Gases · Physics 2023-06-14 Raphaël Menu , Tommaso Roscilde

Except for the universe, all quantum systems are open, and according to quantum state diffusion theory, many systems localize to wave packets in the neighborhood of phase space points. This is due to decoherence from the interaction with…

Quantum Physics · Physics 2008-11-26 Todd A. Brun , Ian C. Percival , Rüdiger Schack

We outline a non-perturbative approach for simulating the behavior of open quantum systems interacting with a bosonic environment defined by a generalized spectral density function. The method is based on replacing the environment by a set…

Quantum Physics · Physics 2021-08-13 Graeme Pleasance , Francesco Petruccione

We use a semiclassical approach to study out of equilibrium dynamics and transport in quantum systems with massive quasiparticle excitations having internal quantum numbers. In the universal limit of low energy quasiparticles, the system is…

Statistical Mechanics · Physics 2019-03-20 Márton Kormos , Catalin Pascu Moca , Gergely Zaránd

We propose and solve a simple but very general quantum model of an SU(2) spin interacting with a large external system with N states. The coupling is described by a random hamiltonian in a new general gaussian SU(2)xU(N) random matrix…

Mathematical Physics · Physics 2011-01-13 Francois David

We present an effective field theory for a unified description of transport in normal and superconducting metals in the presence of generic spin-orbit coupling (SOC). The structure of the quantum kinetic theory in the diffusive regime is…

Superconductivity · Physics 2025-01-28 Tim Kokkeler , F. Sebastian Bergeret , Ilya Tokatly

We study theoretically a driven dissipative one-dimensional XXZ spin$-1/2$ chain with dipole coupling and a tunable strength of the Ising and XY interaction. Within a mean-field approximation, we find a rich phase diagram with uniform, spin…

Quantum Gases · Physics 2020-08-26 C. D. Parmee , N. R. Cooper

We study dissipative phase transitions in a system of two coupled fully-connected quantum Ising models interacting with an environment. The dynamics is governed by a Lindblad master equation combining coherent unitary evolution and…

Statistical Mechanics · Physics 2026-05-01 Bidyut Dey , Andrea Nava , Domenico Giuliano

A nonlinear dynamics semi-classical model is used to show that standard quantum spin analysis can be obtained. The model includes a classically driven nonlinear differential equation with dissipation and a semi-classical interpretation of…

Quantum Physics · Physics 2018-11-08 Joshua J. Heiner , David R. Thayer
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