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Thermal activation and macroscopic quantum tunneling in current-biased discrete Josephson transmission lines are studied theoretically. The degrees of freedom under consideration are the phases across the junctions which are coupled to each…

Superconductivity · Physics 2009-10-31 Thorsten Droese , Cristiane Morais-Smith

Based on a system-reservoir model, where the reservoir is driven by an external stationary, Gaussian noise with arbitrary decaying correlation function, we study the escape rate from a metastable state in the energy diffusion regime. For…

Chemical Physics · Physics 2009-11-11 Jyotipratim Ray Chaudhuri , Debashis Barik , Suman Kumar Banik

Josephson circuits have been ideal systems to study complex non-linear dynamics which can lead to chaotic behavior and instabilities. More recently, Josephson circuits in the quantum regime, particularly in the presence of microwave drives,…

We investigate the noise current in a thermally biased tunnel junction between two superconductors with different zero-temperature gaps. When the Josephson effect is suppressed, this structure can support a nonlinear thermoelectric effect…

Mesoscale and Nanoscale Physics · Physics 2020-11-26 G. Marchegiani , A. Braggio , F. Giazotto

We study the transient statistical properties of short and long Josephson junctions under the influence of thermal and correlated fluctuations. In particular, we investigate the lifetime of the superconductive metastable state finding the…

Superconductivity · Physics 2015-05-13 Giuseppe Augello , Davide Valenti , Andrey L. Pankratov , Bernardo Spagnolo

Motivated by several experimental activities to detect charge noise produced by a mesoscopic conductor with a Josephson junction as on-chip detector, the switching rate out of its zero-voltage state is studied. This process is related to…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Joachim Ankerhold

We investigate the dynamical properties of low dimensional systems, driven by external noise sources. Specifically we consider a resistively shunted Josephson junction and a one dimensional quantum liquid in a commensurate lattice…

Quantum Gases · Physics 2012-07-23 Emanuele G. Dalla Torre , Eugene Demler , Thierry Giamarchi , Ehud Altman

We investigate the superfluid dynamics of a Josephson junction beyond the mean-field description, incorporating the role of thermal fluctuations as well as quantum fluctuations. Using a formalism that accounts for the fluctuations in a…

Quantum Gases · Physics 2026-05-01 Andrea Bardin , Francesco Lorenzi , Luca Salasnich

Thermally activated escape over a potential barrier in the presence of periodic driving is considered. By means of novel time-dependent path-integral methods we derive asymptotically exact weak-noise expressions for both the instantaneous…

Statistical Mechanics · Physics 2009-10-31 Jörg Lehmann , Peter Reimann , Peter Hänggi

A quantum mechanical analysis of the Josephson phase escape in the presence of both dc and ac bias currents is presented. We find that the potential barrier for the escape of the phase is effectively suppressed as the resonant condition…

Superconductivity · Physics 2009-11-10 M. V. Fistul , A. Wallraff , A. V. Ustinov

The influence of fluctuations and periodical driving on temporal characteristics of short overdamped Josephson junction is analyzed. We obtain the standard deviation of the switching time in the presence of a dichotomous driving force for…

Statistical Mechanics · Physics 2009-11-10 Andrey L. Pankratov , Bernardo Spagnolo

We treat the noise-activated escape from a one-dimensional potential well of an overdamped particle, to which a periodic force of fixed frequency is applied. We determine the boundary layer behavior, and the physically relevant length…

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

We present an analytic study for subdiffusive escape of overdamped particles out of a cusp-shaped parabolic potential well which are driven by thermal, fractional Gaussian noise with a $1/\omega^{1-\alpha}$ power spectrum. This…

Statistical Mechanics · Physics 2011-11-09 I. Goychuk , P. Hanggi

We provide a complete solution of the problems of the probability distribution and the escape rate in Poisson-noise driven systems. It includes both the exponents and the prefactors. The analysis refers to an overdamped particle in a…

Statistical Mechanics · Physics 2015-05-18 M. I. Dykman

We discuss activated escape from a metastable state of a system driven by a time-periodic force. We show that the escape probabilities can be changed very strongly even by a comparatively weak force. In a broad parameter range, the…

Statistical Mechanics · Physics 2009-11-07 M. I. Dykman , B. Golding , L. I. McCann , V. N. Smelyanskiy , D. G. Luchinsky , R. Mannella , P. V. E. McClintock

We study the noise-driven escape of active Brownian particles (ABPs) and run-and-tumble particles (RTPs) from confining potentials. In the small noise limit, we provide an exact expression for the escape rate in term of a variational…

Soft Condensed Matter · Physics 2019-07-03 Eric Woillez , Yongfeng Zhao , Yariv Kafri , Vivien Lecomte , Julien Tailleur

We theoretically investigate the escape rate occurring via quantum tunneling in a system affected by tailored dissipation. Specifically, we study the environmental assisted quantum tunneling of the superconducting phase in a current-biased…

Mesoscale and Nanoscale Physics · Physics 2022-07-20 Dominik Maile , Joachim Ankerhold , Sabine Andergassen , Wolfgang Belzig , Gianluca Rastelli

Escape from a potential well is an extreme example of transient behavior. We consider the escape of the harmonically forced particle under viscous damping from the benchmark truncated weakly nonlinear potential well. Main attention is paid…

Chaotic Dynamics · Physics 2019-10-22 Maor Farid , Oleg V. Gendelman

We study the effect of noise-enhanced stability of periodically driven metastable states in a system described by piecewise linear potential. We find that the growing of the average escape time with the intensity of the noise is depending…

Statistical Mechanics · Physics 2009-11-07 N. V. Agudov , B. Spagnolo

We study the dynamics of matter waves in an effectively one-dimensional Bose-Einstein condensate in a double well potential. We consider in particular the case when one of the double wells confines excited states. Similarly to the known…

Quantum Gases · Physics 2015-05-19 H. Susanto , J. Cuevas , P. Kruger