TY - JOUR
T1 - Quantum Frenkel-Kontorova model
AU - Hu, Bambi
AU - Li, Baowen
N1 - Funding Information:
We would like to thank S. Aubry, F. Borgonovi, D.K. Campbell, H. Chen, R.B. Griffiths, C.-L. Ho, H.-Q. Lin, D. Shepelyansky, L.-H. Tang, and W.-M. Zhang for many helpful discussions. This work was supported in part by grants from the Hong Kong Research Grants Council (RGC) and the Hong Kong Baptist University Faculty Research Grant (FRG).
PY - 2000/12/15
Y1 - 2000/12/15
N2 - This paper gives a review of our recent work on the quantum Frenkel-Kontorova model. Using the squeezed state theory and the quantum Monte Carlo method, we have studied the effects of quantum fluctuations on the Aubry transition and the behavior of the ground state wave function. We found that quantum fluctuations renormalize the sinusoidal standard map to a sawtooth map. Although quantum fluctuations have smeared the Aubry transition, the remnants of this transition are still discernible. The ground state wave function also changes from an extended state to a localized state. The squeezed state results agree very well with those from the Monte Carlo and mean field studies.
AB - This paper gives a review of our recent work on the quantum Frenkel-Kontorova model. Using the squeezed state theory and the quantum Monte Carlo method, we have studied the effects of quantum fluctuations on the Aubry transition and the behavior of the ground state wave function. We found that quantum fluctuations renormalize the sinusoidal standard map to a sawtooth map. Although quantum fluctuations have smeared the Aubry transition, the remnants of this transition are still discernible. The ground state wave function also changes from an extended state to a localized state. The squeezed state results agree very well with those from the Monte Carlo and mean field studies.
UR - http://www.scopus.com/inward/record.url?scp=0034513451&partnerID=8YFLogxK
U2 - 10.1016/S0378-4371(00)00416-7
DO - 10.1016/S0378-4371(00)00416-7
M3 - Journal article
AN - SCOPUS:0034513451
SN - 0378-4371
VL - 288
SP - 81
EP - 97
JO - Physica A: Statistical Mechanics and its Applications
JF - Physica A: Statistical Mechanics and its Applications
IS - 1-4
ER -