Variational calculation of the dynamics of a two level system interacting with a bath

Silbey, R.; Harris, R. Adron

doi:10.1063/1.447055

Cited by 459 publications

(437 citation statements)

References 19 publications

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“…These perturbation terms introduce dissipative dynamical effects which can alter the oscillatory behaviour of the TLS in the coherent tunneling state. These effects can be calculated by a variety of methods 1,5,7,10 and for the ohmic case are well understood.…”

Section: Tls Dynamics and Limitations Of The Variational Methodsmentioning

confidence: 99%

Coherent-incoherent transition in the sub-Ohmic spin-boson model

Chin

Turlakov

2006

Phys. Rev. B

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We study the spin-boson model with a sub-Ohmic bath using a variational method. The transition from coherent dynamics to incoherent tunneling is found to be abrupt as a function of the coupling strength α and to exist for any power 0 < s < 1, where the bath coupling is described by J(ω) ∼ αω s . We find non-monotonic temperature dependence of the two-level gapK and a re-entrance regime close to the transition due to non-adiabatic low-frequency bath modes. Differences between thermodynamic and dynamic conditions for the transition as well as the limitations of the simplified bath description are discussed.

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Section: Tls Dynamics and Limitations Of The Variational Methodsmentioning

confidence: 99%

Coherent-incoherent transition in the sub-Ohmic spin-boson model

Chin

Turlakov

2006

Phys. Rev. B

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“…As it is known, spin-boson systems have been active object of study since the works of Leggett and coworkers, 25,26 and their application to P-violating chiral molecules is found in the pioneering works of Harris and Silbey. [27][28][29] However, as far as we know, the results of a driven spin-boson system has never been applied to the case of P-violating chiral molecules. We restrict our study to very low temperatures where deep quantum tunneling is the only mechanism for barrier crossing.…”

Section: Introductionmentioning

confidence: 99%

Quantum stochastic resonance in parity violating chiral molecules

Bargueño

Miret‐Artés

Gonzalo

2011

Phys. Chem. Chem. Phys.

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In order to explore parity violating effects in chiral molecules, of interest in some models of evolution towards homochirality, quantum stochastic resonance (QSR) is studied for the population difference between the two enantiomers of a chiral molecule (hence for the optical activity of the sample), under low viscous friction and in the deep quantum regime. The molecule is described by a two-state model in an asymmetric double well potential where the asymmetry is given by the known predicted parity violating energy difference (PVED) between enantiomers. In the linear response to an external driving field that lowers and rises alternatively each one of the minima of the well, a signal of QSR is predicted only in the case that the PVED is different from zero, the resonance condition being independent on tunneling between the two enantiomers. It is shown that, at resonance, the fluctuations of the first order contribution to the internal energy are zero. Due to the small value of the PVED, the resonance would occur in the ultracold regime. Some proposals concerning the external driving field are suggested.

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“…One of the best understood ones is decoherence [2,17,18], and in particular collisional decoherence [9,[19][20][21], which is ubiquitous in quantum physics. The application of decoherence to the study of the coherent tunneling of a molecule in a gas has been first done by [5,6]. Different alternative approaches to the problem include the mean field theory [10], or various modeling of the dephasing process induced by intermolecular interactions [11], by photons [8], or by phonons [6].…”

Section: The Role Of Decoherencementioning

confidence: 99%

Tunneling properties of nonplanar molecules in a gas medium

Bahrami

Bassi

2011

Phys. Rev. A

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We propose a simple, general, and accurate formula for analyzing the tunneling between classical configurations of a non-planar molecule in a gas medium, as a function of the thermodynamic parameters of the gas. We apply it to two interesting cases: i) The shift to zero frequency of the inversion line of ammonia, upon increase of the pressure of the gas; ii)The destruction of the coherent tunneling of D 2 S 2 molecules in a gas of He. In both cases, we compare our analysis with previous theoretical and experimental results.

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Variational calculation of the dynamics of a two level system interacting with a bath

Cited by 459 publications

References 19 publications

Coherent-incoherent transition in the sub-Ohmic spin-boson model

Coherent-incoherent transition in the sub-Ohmic spin-boson model

Quantum stochastic resonance in parity violating chiral molecules

Tunneling properties of nonplanar molecules in a gas medium

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