Squeezed-state approach for phonon coupling in tunneling systems at zero temperature

Chen, Hong; Zhang, Yumei; Wu, Xiang

doi:10.1103/physrevb.39.546

Cited by 35 publications

(26 citation statements)

References 12 publications

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“…z. YE approximation to consider the retarded effect on phonons and particle. This non-adiabaticity has also been discussed by Chen et al [8] using the squeezed state approach. They found the ground states of phonons are described by the coherent displaced squeezed states inducing an extra deformation of phonons in addition to the phonon condensation.…”

Section: Introductionsupporting

confidence: 52%

“…Here the form of the phonon density is zed-' with d the dimensional number, as used by many authors. Now we apply the above results to the calculation of the renormalized tunneling order parameter A in the displaced squeezed state [8], (3.18) which shows that the calculation of the renormalized tunneling parameter needs not only the explicit form of the bare coupling constant but also the phonon density of state and other physical quantities of tunneling particle and phonon bath, such as the mass of tunneling particle and crystal atom, characteristic frequencies of the double wells. where we have used (3.12).…”

Section: Zii2(d) = Zii2q(c?)mentioning

confidence: 99%

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Effective Phonon Coupling in Tunneling System

Ye¹

1993

Physica Status Solidi (b)

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This paper is devoted to the study of the renormalization of wave functions and coupling constant in dissipative two-state tunneling systems, where the quantum effects of the tunneling particle on the phonon bath, as we will show, cannot be simply ignored. Through a general discussion of the extended objects of quantum origin, the renormalization factors are calculated in a simple approach. The effective phonon coupling constant is obtained. The possible improvement on the calculation of the renormalized tunneling parameter is briefly discussed.

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Section: Introductionsupporting

confidence: 52%

Section: Zii2(d) = Zii2q(c?)mentioning

confidence: 99%

Effective Phonon Coupling in Tunneling System

Ye¹

1993

Physica Status Solidi (b)

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“…There is evidence that squeezing of the oscillator state is involved to some extent near the critical point. A number of authors have incorporated squeezing into variational studies of the ground state [27][28][29]38,39], and numerical calculations have shown how the squeezing parameter in the ground state scales with /ω 0 and λ/ω 0 [23,37]. The dynamics of squeezing in wave-packet evolution has been discussed by Sandu et al [40] and Larson [41].…”

Section: Introductionmentioning

confidence: 99%

Oscillator tunneling dynamics in the Rabi model

Irish

Gea‐Banacloche

2014

Phys. Rev. B

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The familiar Rabi model, comprising a two-level system coupled to a quantum harmonic oscillator, continues to produce rich and surprising physics when the coupling strength becomes comparable to the individual subsystem frequencies. We construct approximate solutions for the eigenstates and energies in the regime in which the oscillator frequency is small compared to that of the two-level system and the coupling strength matches or exceeds the oscillator frequency. The resulting oscillator dynamics closely resembles that of a particle tunneling in a classical double-well potential. Relating our calculation to an earlier semiclassical approximation in which coupling to the two-level system creates an effective potential for the oscillator, we examine the extent to which this picture is valid. We find that, for certain parameter regimes, the interpretation of the oscillator dynamics in terms of tunneling holds to a good approximation despite the fundamentally entangled nature of the joint system. We assess the prospects for observation of oscillator tunneling in the context of nano-or micromechanical experiments and find that it should be possible if suitably high coupling strengths can be engineered.

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“…However, with the coupling to environment the dissipative two-state system is difficult to handle analytically, which has brought much uncertainty in the interpretation of experimental data and has limited our understanding of many interesting quantum phenomena of these systems. Although the dissipative two-state system has been dealt with by means of various analytical and numerical methods, 7,8,[13][14][15][16][17][18][19][20][21][22][23][24][25] with respect to the current correlation function only numerical calculation has been performed. 23 An analytical study will make it possible to have an insight into the intrinsic properties of dissipative two-state systems.…”

Section: Introductionmentioning

confidence: 99%

Analytical approach to dynamical behavior and phase diagrams in dissipative two-state systems

Wang

Zheng

2009

Phys. Rev. B

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An analytical approach is developed to investigate the phase transitions and the dynamical behaviors in dissipative two-state systems in a unified method for different bath indices with the view of understanding the effects of environments and tunneling on the systems. Analytic expressions of the current correlation function, the nonequilibrium correlation function, and the critical points of coherent-incoherent and delocalizedlocalized transitions for various bath indices are obtained by implementing perturbation treatment and employing the Green's function method. The phase boundaries can be precisely determined at both the scaling limit and the finite bare tunneling. The results of the dynamical behaviors of the correlation functions are consistent well with those of previous works and some well-established values are reproduced exactly. This theory is quite simple and may be applied as a potential method to study absorption spectra and photoluminescence in quantum dots and other confined quantum systems.

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Squeezed-state approach for phonon coupling in tunneling systems at zero temperature

Cited by 35 publications

References 12 publications

Effective Phonon Coupling in Tunneling System

Effective Phonon Coupling in Tunneling System

Oscillator tunneling dynamics in the Rabi model

Analytical approach to dynamical behavior and phase diagrams in dissipative two-state systems

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