Quantum dissipative dynamics of a bistable system in the sub-Ohmic to super-Ohmic regime

Magazzù, Luca; Carollo, Angelo; Spagnolo, Bernardo; Valenti, Davide

doi:10.1088/1742-5468/2016/05/054016

Cited by 25 publications

(42 citation statements)

References 52 publications

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“…Anderson localization (AL) of non-interacting particles and waves in quantum systems is well-understood now in the coherent Hamiltonian limit [4-9]; however, it is less explored in the situation when the systems are open, i.e., they interact with their environments [10].An asymptotic localization in open disordered quantum systems might sound like an oxymoron. Dissipative effects can, in principle, play a constructive role in bringing quantum systems into specific states [11][12][13] and stabilizing them in metastable states [14][15][16]; they can also be used to inhibit loses and induce coherence in Bose-Einstein condensates [17][18][19][20]. Yet the phenomenon of AL relies on a fine long-range interference [21], and it is intuitively expected that dissipation will blur the latter and thus eventually destroy the former.…”

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confidence: 99%

Localization in Open Quantum Systems

et al. 2017

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In an isolated single-particle quantum system, a spatial disorder can induce Anderson localization. Being a result of interference, this phenomenon is expected to be fragile in the face of dissipation. Here we show that a proper dissipation can drive a disordered system into a steady state with tunable localization properties. This can be achieved with a set of identical dissipative operators, each one acting nontrivially on a pair of sites. Operators are parametrized by a uniform phase, which controls the selection of Anderson modes contributing to the state. On the microscopic level, quantum trajectories of a system in the asymptotic regime exhibit intermittent dynamics consisting of long-time sticking events near selected modes interrupted by intermode jumps.

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confidence: 99%

Localization in Open Quantum Systems

et al. 2017

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“…The scope of this research is to consider the dynamics of a dissipative bistable system, beyond the TLS approximation, in a temperature regime in which the presence of the second energy doublet cannot be neglected [20][21][22][23][24]. To this end, a nonperturbative generalized master equation with approximated kernels can be derived within the Feynman-Vernon influence functional approach [25,26].…”

Section: Decoherence and Quantum Bistable Systemsmentioning

confidence: 99%

Non-Equilibrium Phenomena in Quantum Systems, Criticality and Metastability

Carollo

Spagnolo

Valenti

2019

11th Italian Quantum Information Science Conference (IQIS2018)

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We summarise here some relevant results related to non-equilibrium quantum systems. We characterise quantum phase transitions (QPT) in out-of-equilibrium quantum systems through a novel approach based on geometrical and topological properties of mixed quantum systems. We briefly describe results related to non-perturbative studies of the bistable dynamics of a quantum particle coupled to an environment. Finally, we shortly summarise recent studies on the generation of solitons in current-biased long Josephson junctions.

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“…This theoretical approach allows to capture environmental effects in terms of functionals depending on the coordinates of the system investigated. This corresponds to eliminate the bath degrees of freedom of the full density matrix ρ SB (t) and considering the reduced dynamics, after the bath degrees of freedom have been traced out (see, as general Refs., [75,76,79,[82][83][84][85][86][87][88]). Starting with the system described by the full HamiltonianĤ in equation (5), the full (system plus reservoir) density matrix ρ SB (t) evolves according to…”

Section: Path Integral and Dissipation: The Feynman-vernon Influence mentioning

confidence: 99%

“…is proportional to the so-called reorganization energy, which measures the overall system-bath coupling [88,89].…”

Section: Path Integral and Dissipation: The Feynman-vernon Influence mentioning

confidence: 99%

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Stabilization by dissipation and stochastic resonant activation in quantum metastable systems

Spagnolo

Carollo

Valenti

2018

Eur. Phys. J. Spec. Top.

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In this tutorial paper we present a comprehensive review of the escape dynamics from quantum metastable states in dissipative systems and related noise-induced effects. We analyze the role of dissipation and driving in the escape process from quantum metastable states with and without an external driving force, starting from a nonequilibrium initial condition. We use the Caldeira-Leggett model and a non-perturbative theoretical technique within the Feynman-Vernon influence functional approach in strong dissipation regime. In the absence of driving, we find that the escape time from the metastable region has a nonmonotonic behavior versus the system-bath coupling and the temperature, producing a stabilizing effect in the quantum metastable system. In the presence of an external driving, the escape time from the metastable region has a nonmonotonic behavior as a function of the frequency of the driving, the thermal-bath coupling and the temperature. The quantum noise enhanced stability phenomenon is observed in both systems investigated. Finally, we analyze the resonantly activated escape from a quantum metastable state in the spin-boson model. We find quantum stochastic resonant activation, that is the presence of a minimum in the escape time as a function of the driving frequency. Background and introductory material has been added in the first three sections of the paper to make this tutorial review reasonably self-contained and readable for graduate students and non-specialists from related areas.

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Quantum dissipative dynamics of a bistable system in the sub-Ohmic to super-Ohmic regime

Cited by 25 publications

References 52 publications

Localization in Open Quantum Systems

Localization in Open Quantum Systems

Non-Equilibrium Phenomena in Quantum Systems, Criticality and Metastability

Stabilization by dissipation and stochastic resonant activation in quantum metastable systems

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