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We propose a novel approach to the problem of a transition from quantum to classical behavior in mesoscopic spin systems. This paper is intended to demonstrate that main cause of such transitions is quantum decoherence which appear as a…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 V. V. Makhro

A dynamical study of the decay of a metastable state by quantum tunneling through an anisotropic, non separable, two-dimensional potential barrier is performed by the numerical solution of the time-dependent Schrodinger equation. Initial…

Nuclear Theory · Physics 2008-11-26 P. Talou , N. Carjan , D. Strottman

We compute the decay rate of a metastable cosmic string in contact with a thermal bath by finding the instanton solution. The new feature is that this decay rate is found in the context of non thermal scalar fields in contact with a thermal…

High Energy Physics - Theory · Physics 2015-06-12 Johanna Karouby

We present a general theory of classical metastability in open quantum systems. Metastability is a consequence of a large separation in timescales in the dynamics, leading to the existence of a regime when states of the system appear…

Statistical Mechanics · Physics 2021-07-20 Katarzyna Macieszczak , Dominic C. Rose , Igor Lesanovsky , Juan P. Garrahan

The escape rate \Gamma of the large-spin model described by the Hamiltonian H = -DS_z^2 - H_zS_z - H_xS_x is investigated with the help of the mapping onto a particle moving in a double-well potential U(x). The transition-state method…

Statistical Mechanics · Physics 2009-10-31 D. A. Garanin , X. Martinez Hidalgo , E. M. Chudnovsky

We investigate the depinning of a massive elastic manifold with $d$ internal dimensions, embedded in a $(d+n)$-dimensional space, and subject to an isotropic pinning potential $V({\bf u})=V(|{\bf u}|).$ The tunneling process is driven by a…

Superconductivity · Physics 2009-10-31 D. A. Gorokhov , G. Blatter

Temperature plays a crucial role in metastable phenomena, not only by contributing to determine the state (phase) of a system, but also ruling the decay probability to more stable states. Such a situation is encountered in many different…

The time evolution of the thermally activated decay rates is considered. This evolution is of particular importance for the recent nanoscale experiments discussed in the literature, where the potential barrier is relatively low (or the…

Statistical Mechanics · Physics 2021-04-21 Maria Chushnyakova , Igor Gontchar , Natalya Khmyrova

The phenomenon of liquid-gas phase transition occurring in heavy ion collisions at intermediate energies is a subject of contemporary interest. Phase transition is usually characterized by the specific behaviour of state variables like…

Nuclear Theory · Physics 2018-08-15 P. Das , S. Mallik , G. Chaudhuri

We report on a complex zero-temperature decay channel of a classical object in a metastable state coupled to a quantum degree of freedom. This setting can be realized in a dc-SQUID where both Josephson-junctions have identical critical…

Superconductivity · Physics 2008-07-04 A. U. Thomann , V. B. Geshkenbein , G. Blatter

Classical phase transitions, like solid-liquid-gas or order-disorder spin magnetic phases, are all driven by thermal energy fluctuations by varying the temperature. On the other hand, quantum phase transitions happen at absolute zero…

Quantum Physics · Physics 2024-03-13 Sabre Kais

We consider the form of the current-voltage curves generated when tunneling spectroscopy is used to measure the energies of individual electronic energy levels in nanometer-scale systems. We point out that the voltage positions of the…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Edgar Bonet , Mandar M. Deshmukh , D. C. Ralph

Employing the method of mapping the spin problem onto a particle one, we have derived the particle Hamiltonian for a biaxial spin system with a transverse or longitudinal magnetic field. Using the Hamiltonian and introducing the parameter…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Gwang-Hee Kim

The scaling theory of critical phenomena has been successfully extended for classical first order transitions even though the correlation length does not diverge in these transitions. In this paper we apply the scaling ideas to quantum…

Strongly Correlated Electrons · Physics 2009-11-10 Mucio A. Continentino , Andre S. Ferreira

The quantum-classical transition of the escape rate of the spin model \cal H= -DS_z^2 - H_zS_z + B S_x^2 is investigated by a perturbative approach with respect to B [D. A. Garanin, J. Phys A {\bf 24}, L61 (1991)]. The transition is first…

Statistical Mechanics · Physics 2009-10-31 D. A. Garanin , E. M. Chudnovsky

An adiabatic transition between two equilibrium states corresponding to different stiffnesses in an infinite chain of particles is studied. Initially, the chain particles have random displacements and random velocities corresponding to a…

Statistical Mechanics · Physics 2020-11-04 Anton M. Krivtsov , Andrey S. Murachev

Any evolving system can change of state via thermal mechanisms (hopping a barrier) or via quantum tunneling. Most of the time, efficient classical mechanisms dominate at high temperatures. This is why an increase of the temperature can…

Materials Science · Physics 2014-02-14 M. Minissale , E. Congiu , S. Baouche , H. Chaabouni , A. Moudens , F. Dulieu , M. Accolla , S. Cazaux , G. Manico , V. Pirronello

In this Letter, we numerically present the possibility of the first-order phase transition occurring through the thermal fluctuation in the early universe. We find that when the temperature is slightly higher than the mass scale of the…

High Energy Physics - Phenomenology · Physics 2025-05-22 Ligong Bian , Yuefeng Di , Yongtao Jia , Yang Li , Kehao Zeng

Metastability is a quintessential feature of first order quantum phase transitions, which is lost either by dynamical instability or by nucleating bubbles of a true vacuum through quantum tunneling. By considering a drive across the first…

Statistical Mechanics · Physics 2021-07-28 Aritra Sinha , Titas Chanda , Jacek Dziarmaga

We have found a novel feature of the bistable large-spin model described by the Hamiltonian H = -DS_z^2 - H_xS_x.The crossover from thermal to quantum regime for the escape rate can be either first (H_x<SD/2) or second (SD/2<H_x<2SD) order,…

Statistical Mechanics · Physics 2009-10-31 E. M. Chudnovsky , D. A. Garanin