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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

We discuss two methods of an exact stochastic representation of the non-Markovian quantum dynamics of open systems. The first method employs a pair of stochastic product vectors in the total system's state space, while the second method…

Quantum Physics · Physics 2007-07-13 Heinz-Peter Breuer , Francesco Petruccione

The dynamics of fermionic many-body systems is investigated in the framework of Boltzmann-Langevin (BL) stochastic one-body approaches. Within the recently introduced BLOB model, we examine the interplay between mean-field effects and…

Nuclear Theory · Physics 2017-11-27 P. Napolitani , M. Colonna

We investigate the dynamics of the spin-boson model when the spectral density of the boson bath shows a resonance at a characteristic frequency $\Omega$ but behaves Ohmically at small frequencies. The time evolution of an initial state is…

Condensed Matter · Physics 2009-11-10 M. Thorwart , E. Paladino , M. Grifoni

Recently, stochastic resonance was obtained numerically in an underdamped periodic potential system driven by a periodic force and a Gaussian white noise. In that numerical work, the occurrence of stochastic resonance was explained in terms…

Chaotic Dynamics · Physics 2018-12-21 Ivan Skhem Sawkmie , Mangal C. Mahato

We study dissipation in a small quantum system coupled to an environment held in thermodynamic equilibrium. The relaxation dynamics of a system subject to an abrupt quench in the parameters of the underlying Hamiltonian is investigated…

Mesoscale and Nanoscale Physics · Physics 2013-10-23 Oleksiy Kashuba , Dante M. Kennes , Mikhail Pletyukhov , Volker Meden , Herbert Schoeller

We report on noise-induced-spin-ordering in a collective quasipaticle system: spinor stochastic resonance. Synergetic interplay of a polarization-modulated signal and a polarization-noise allows us to switch coherently between the two…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 H. Abbaspour , S. Trebaol , F. Morier-Genoud , M. T. Portella-Oberli , B. Deveaud

The assumption that quantum systems relax to a stationary state in the long-time limit underpins statistical physics and much of our intuitive understanding of scientific phenomena. For isolated systems this follows from the eigenstate…

Quantum Physics · Physics 2019-04-16 Berislav Buca , Joseph Tindall , Dieter Jaksch

The reduced dynamics of a quantum system interacting with a linear heat bath finds an exact representation in terms of a stochastic Schr{\"o}dinger equation. All memory effects of the reservoir are transformed into noise correlations and…

Statistical Mechanics · Physics 2007-05-23 J. Stockburger , H. Grabert

A quantum two-level system immersed in a sub-Ohmic bath experiences enhanced low-frequency quantum statistical fluctuations which render the nonequilibrium quantum dynamics highly non-Markovian. Upon using the numerically exact…

Statistical Mechanics · Physics 2022-09-20 Florian Otterpohl , Peter Nalbach , Michael Thorwart

We investigate a two-level system in resonant contact with a larger environment. The environment typically is in a canonical state with a given temperature initially. Depending on the precise spectral structure of the environment and the…

Quantum Physics · Physics 2009-11-13 Harry Schmidt , Guenter Mahler

We determine the late-time dynamics of a generic spin ensemble with inhomogeneous broadening - equivalently, qubits with arbitrary Zeeman splittings - coupled to a dissipative environment with strength decreasing as $1/t$. The approach to…

Quantum Physics · Physics 2025-10-13 Lieuwe Bakker , Suvendu Barik , Vladimir Gritsev , Emil A. Yuzbashyan

Statistic dynamics of financial systems is investigated, basing on a model of randomly coupled equation system driven by stochastic Langevin force. It is found that in stable regime the noise power spectrum of the system is of 1/f^alpha…

Disordered Systems and Neural Networks · Physics 2008-12-02 Kestutis Staliunas

We discuss the dynamics of a Bose-Einstein condensate in a double-well trap subject to phase noise and particle loss. The phase coherence of a weakly-interacting condensate, experimentally measured via the contrast in an interference…

Quantum Physics · Physics 2009-03-25 D. Witthaut , F. Trimborn , S. Wimberger

It has been recently realized that dissipative processes can be harnessed and exploited to the end of coherent quantum control and information processing. In this spirit we consider strongly dissipative quantum systems admitting a…

Quantum Physics · Physics 2014-12-18 Paolo Zanardi , Lorenzo Campos Venuti

One way to look for complex behaviours in many-body quantum systems is to let the number $N$ of degrees of freedom become large and focus upon collective observables. Mean-field quantities scaling as $1/N$ tend to commute, whence complexity…

Quantum Physics · Physics 2015-10-29 F. Benatti , F. Carollo , R. Floreanini

Open many-body quantum systems have recently gained renewed interest in the context of quantum information science and quantum transport with biological clusters and ultracold atomic gases. A series of results in diverse setups is…

Quantum Gases · Physics 2015-11-10 G. Kordas , D. Witthaut , S. Wimberger

We study the reduced dynamics of interacting spins, each coupled to its own bath of bosons. We derive the solution in analytic form in the white-noise limit and analyze the rich behaviors in diverse limits ranging from weak coupling and/or…

Quantum Physics · Physics 2008-07-16 P. Nägele , G. Campagnano , U. Weiss

We consider a model dissipative quantum-mechanical system realized by coupling a quantum oscillator to a semi-infinite classical string which serves as a means of energy transfer from the oscillator to the infinity and thus plays the role…

Other Condensed Matter · Physics 2007-05-23 E. Anisimovas , A. Matulis

In this work, we study the driven-dissipative dynamics of a coherently-driven spin ensemble with a squeezed, superradiant decay. This decay consists of a sum of both raising and lowering collective spin operators with a tunable weight. The…