Failure of the displaced-squeezed state for spin-boson models in the thermodynamic limit

被引:11
作者
Chin, A. W. [1 ]
机构
[1] Univ Cambridge, Cavendish Lab, Cambridge CB3 0HE, England
关键词
D O I
10.1103/PhysRevB.76.201307
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
We present an analysis of a variational coherent-squeezed state that has been discussed in the literature as a potential ground state for the spin-boson model. We show that when the system-size scaling of the spin-bath coupling is included properly, all squeezing effects and nonuniversal physics vanish in the thermodynamic limit. We also present finite-size corrections to the renormalization of the spin's coherence, showing that squeezing effects are also absent to leading order in the inverse bath size.
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页数:4
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共 21 条
[1]   Numerical renormalization group for bosonic systems and application to the sub-ohmic spin-boson model [J].
Bulla, R ;
Tong, NH ;
Vojta, M .
PHYSICAL REVIEW LETTERS, 2003, 91 (17)
[2]   SQUEEZED-STATE APPROACH FOR PHONON COUPLING IN TUNNELING SYSTEMS AT ZERO TEMPERATURE [J].
CHEN, H ;
ZHANG, YM ;
WU, X .
PHYSICAL REVIEW B, 1989, 39 (01) :546-550
[3]   VARIATIONAL GROUND-STATE OF THE MODEL OF A 2-STATE SYSTEM COUPLED WITH PHONONS [J].
CHEN, H ;
ZHANG, YM ;
WU, X .
PHYSICAL REVIEW B, 1989, 40 (16) :11326-11327
[4]  
CHEN H, 1992, PHYS REV B, V45, P13753
[5]   Coherent-incoherent transition in the sub-Ohmic spin-boson model [J].
Chin, A ;
Turlakov, M .
PHYSICAL REVIEW B, 2006, 73 (07)
[6]   SYMMETRY-BREAKING TRANSITION IN A 2-LEVEL SYSTEM COUPLED TO AN OHMIC BATH - A SQUEEZED-STATE APPROACH [J].
DUTTA, B ;
JAYANNAVAR, AM .
PHYSICAL REVIEW B, 1994, 49 (05) :3604-3607
[7]  
Feynman R. P., 1998, Statistical Mechanics: A Set Of Lectures, DOI 10.1201/9780429493034
[8]   Squeezing in the weakly interacting uniform Bose-Einstein condensate [J].
Haque, Masudul ;
Ruckenstein, Andrei E. .
PHYSICAL REVIEW A, 2006, 74 (04)
[9]   On the spin-boson model with a sub-ohmic bath [J].
Kehrein, SK ;
Mielke, A .
PHYSICS LETTERS A, 1996, 219 (5-6) :313-318
[10]   DYNAMICS OF THE DISSIPATIVE 2-STATE SYSTEM [J].
LEGGETT, AJ ;
CHAKRAVARTY, S ;
DORSEY, AT ;
FISHER, MPA ;
GARG, A ;
ZWERGER, W .
REVIEWS OF MODERN PHYSICS, 1987, 59 (01) :1-85