Quantum Corrections to Thermally Activated Decay in SQUID Rings

Grabert, Hermann; Olschowski, Peter; Weiß, Ulrich

doi:10.1103/physrevlett.57.265

Cited by 8 publications

(3 citation statements)

References 7 publications

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“…Hereby we observe that the SPA yields a phase i = exp(i x/2), which with ( -1) iA(i) = A yields a real quantity for the analytically continued object (14,15). The normalization constant, A, stemming from the measure over {c"}, can be obtained if we evaluate Z,, i.e.…”

Section: ~Inh(~t(e)r)]-~}exp[-$(e)/h]mentioning

confidence: 98%

“…Note also, that in contrast to (14), the SPA in the time integration for (19) is performed here at the end, while for (14) it defines the first step in the approximation scheme, thereby fixing the period T = T ( E ) . Upon noticing that we find by use of the identity in (21) the alternative expression, i.e.…”

Section: ~Inh(~t(e)r)]-~}exp[-$(e)/h]mentioning

confidence: 99%

“…Within the last decade, the quantum-Kramers rate has originally been studied over the whole temperature regime by the Augsburg-Essen-Polytechnic-Stuttgart school [5, 7,8,9,13,14] and the Moscow school [6] which all made use of the imaginary-free-energy methodology [I 51. The primary object of this latter method is the dissipative bounce (instanton/anti-instanton) solution.…”

Section: Introductionmentioning

confidence: 99%

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Periodic Orbit Approach to the Quantum‐Kramers‐Rate

Hänggi

Hontscha

1991

Ber Bunsenges Phys Chem

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Section: ~Inh(~t(e)r)]-~}exp[-$(e)/h]mentioning

confidence: 98%

Section: ~Inh(~t(e)r)]-~}exp[-$(e)/h]mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Periodic Orbit Approach to the Quantum‐Kramers‐Rate

Hänggi

Hontscha

1991

Ber Bunsenges Phys Chem

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Calculation of quantum escape rates from a metastable well

Grabert

Olschowski

Weiß

1987

Z. Physik B - Condensed Matter

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Quantum Stochastic Dynamics in the Presence of a Time-Periodic Rapidly Oscillating Potential: Nonadiabatic Escape Rate

Shit

Chattopadhyay

Chaudhuri³

2013

J. Phys. Chem. A

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Escape from a metastable state in the presence of a high-frequency field (where the driving becomes nonadiabatic) underlies a broad range of phenomena of physics and chemistry, and thus its understanding is of paramount importance. We study the problem of intermediate-to-high-damping escape from a metastable state of a dissipative system driven by a rapidly oscillating field, one of the most important classes of nonequilibrium systems, in a broad range of field driving frequencies (ω) and amplitudes (a). We construct a Langevin equation using quantum gauge transformation in the light of Floquet theorem and exploiting a systematic perturbative expansion in powers of 1/ω using "Kapitza-Landau time window". The quantum dynamics in a high-frequency field are found to be described by an effective time-independent potential. The temperature dependence of escape rate and the change of its form with varying parameters of the field have been analyzed. It may decrease upon increasing the temperature which is contingent on the effects of intricate interplay between external modulation and dissipation. The crossover temperature between tunnelling and thermal hopping increases with an increase in external modulation so that quantum effects in the escape are relevant at higher temperatures. These observations are uncommon and counterintuitive and, therefore, of considerable interest. Our results might be valuable for the exploration of the dynamics of cold atoms in electromagnetic fields.

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Quantum Corrections to Thermally Activated Decay in SQUID Rings

Cited by 8 publications

References 7 publications

Periodic Orbit Approach to the Quantum‐Kramers‐Rate

Periodic Orbit Approach to the Quantum‐Kramers‐Rate

Calculation of quantum escape rates from a metastable well

Quantum Stochastic Dynamics in the Presence of a Time-Periodic Rapidly Oscillating Potential: Nonadiabatic Escape Rate

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