Strong Coupling Theory for Tunneling and Vibrational Relaxation in Driven Bistable Systems

Thorwart, Michael; Grifoni, Milena; Hänggi, Peter

doi:10.1006/aphy.2001.6174

Cited by 48 publications

(113 citation statements)

References 102 publications

(201 reference statements)

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“…-We have discussed a generalized master equation for the population difference P (t) of a spinboson system in the whole regime of temperatures and couplings. This equation can be solved using standard iteration schemes [17,22]. For Ohmic damping the WIBA is able to reproduce known results in various complementary regimes, yielding a good, though not perfect agreement, with ab-initio QUAPI calculation in the regime of intermediate temperatures and damping.…”

mentioning

confidence: 89%

Spin-boson dynamics: A unified approach from weak to strong coupling

Nesi¹,

Paladino²,

Thorwart³

et al. 2007

Europhys. Lett.

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Abstract. -We present a novel approximation scheme to describe the influence of a harmonic bath on the dynamics of a two-level particle over almost the whole regime of temperatures and coupling to the environment, for a wide class of bath spectral densities. Starting from the exact path-integral solution for the two-level system density matrix, effective intra-blip correlations are fully included, while inter-blip and blip-sojourn interactions are considered up to first order. In the proper regimes, an excellent agreement with conventional perturbative approaches and ab-initio path-integral results is found.Introduction. -The problem of a two-level system (TLS) suffering from environmental decohering effects is ubiquitous to many physical and chemical situations [1][2][3]. Standard examples involve electron and proton transfer reaction in condensed phases [4], defect tunneling in metals [5] or tunneling systems in glasses [6,7]. Recently, several realizations of TLSs have been experimentally demonstrated in superconducting [8] and semiconducting [9] devices as possible unit (quantum bit) for future quantum computers. In these solid state systems, decoherence is a major obstacle towards the realization of a usable quantum computer [10][11][12]. Hence, a proper understanding of dissipation over a broad parameter regime is of outermost importance.For a description of the dissipative dynamics the spinboson model, in which the TLS is bilinearly coupled to a harmonic bath, is very frequently used. It reads [1][2][3]

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confidence: 89%

Spin-boson dynamics: A unified approach from weak to strong coupling

Nesi¹,

Paladino²,

Thorwart³

et al. 2007

Europhys. Lett.

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“…This corresponds to a multilevel version [29,45] of the noninteracting blip approximation (NIBA) [3,11]. However, the relevant part of the interactions, the intra-blip interactions indicated by the red wavy lines in figure 5, are retained to all orders in the coupling strength.…”

Section: Generalized Master Equation Within the Generalized Noninteramentioning

confidence: 99%

“…As a consequence, the path integral expression for a population in Laplace space takes the form of a series in the number of transitions. The series is resummed and the result transformed back to the time domain, which gives the following GME [45] ( ) ( ) ( ) ( )…”

Section: J Stat Mech (2016) 054016mentioning

confidence: 99%

“…Since the relaxation dynamics is governed by the incoherent tunneling and, as shown in figure 7, the intrawell oscillations are damped out on relatively short time scales, a good estimate for the relaxation time, the time scale on which the system relaxes, is given by the following Markov-approximated version of equation (15) [30,45] ( ) ( )…”

Section: J Stat Mech (2016) 054016mentioning

confidence: 99%

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

Magazzù¹,

Carollo²,

Spagnolo³

et al. 2016

J. Stat. Mech.

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Abstract. We investigate the quantum dynamics of a multilevel bistable system coupled to a bosonic heat bath beyond the perturbative regime. We consider dierent spectral densities of the bath, in the transition from subOhmic to super-Ohmic dissipation, and dierent cuto frequencies. The study is carried out by using the real-time path integral approach of the FeynmanVernon influence functional. We find that, in the crossover dynamical regime characterized by damped intrawell oscillations and incoherent tunneling, the short time behavior and the time scales of the relaxation starting from a nonequilibrium initial condition depend nontrivially on the spectral properties of the heat bath.

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“…One can find examples where the theory of QDWP can be successfully applied in chemistry, biology or physics, including the tunneling of the magnetic flux in superconducting quantum interference devices (SQUIDs), tunneling dynamics of substitutional defects in solids, or hydrogen pair transfer in the hydrogen-bonded cyclic dimers [2]. A remarkable example of QDWP physics is the macroscopic quantum tunneling (MQT) of magnetization in nanomagnets.…”

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confidence: 99%

Macroscopic quantum tunneling of magnetization explored by quantum-first-order reversal curves

Béron

Novak

Vaz

et al. 2013

Applied Physics Letters

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A novel method to study the fundamental problem of quantum double well potential systems that display magnetic hysteresis is proposed. The method, coined quantum-first-order reversal curve (QFORC) analysis, is inspired by the conventional first-order reversal curve (FORC) protocol, based on the Preisach model for hysteretic phenomena. We successfully tested the QFORC method in the peculiar hysteresis of the Mn 12 Ac molecular magnet, which is governed by macroscopic quantum tunneling of magnetization. The QFORC approach allows one to quickly reproduce well the experimental magnetization behavior, and more importantly to acquire information that is difficult to infer from the usual methods based on matrix diagonalization. It is possible to separate the thermal activation and tunneling contributions from the magnetization variation, as well as understand each experimentally observed jump of the magnetization curve and associate them with specific quantum transitions.

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Strong Coupling Theory for Tunneling and Vibrational Relaxation in Driven Bistable Systems

Cited by 48 publications

References 102 publications

Spin-boson dynamics: A unified approach from weak to strong coupling

Spin-boson dynamics: A unified approach from weak to strong coupling

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

Macroscopic quantum tunneling of magnetization explored by quantum-first-order reversal curves

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