Time-dependent mean-field theory of the superfluid-insulator phase transition

被引:39
作者
Amico, L [1 ]
Penna, V
机构
[1] Univ Autonoma Madrid, Dept Fis Teor Mat Condensada, E-28049 Madrid, Spain
[2] Univ Autonoma Madrid, Inst Nicolas Cabrera, E-28049 Madrid, Spain
[3] Univ Catania, Fac Ingn, Dipartimento Metodol Fis & Chim Ingn, I-95129 Catania, Italy
[4] INFM, I-95129 Catania, Italy
[5] Politecn Torino, Dipartimento Fis, I-10129 Turin, Italy
[6] INFM, I-10129 Turin, Italy
[7] Schrodinger Inst, A-1090 Vienna, Austria
关键词
D O I
10.1103/PhysRevB.62.1224
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
We develop a time-dependent mean-field approach, within the time-dependent variational principle, to describe the superfluid-insulator quantum phase transition. We construct the zero-temperature phase diagram both of the Bose-Hubbard model (BHM). and of a spin-S Heisenberg model (SHM) with the XXZ anisotropy. The phase diagram of the BHM indicates a phase transition From a Mott insulator to a compressibile superfluid phase, and shows the expected lobelike structure. The SHM phase diagram displays a quantum phase transition between a paramagnetic and a canted phases showing as well a lobelike structure. We show how the BHM and the quantum phase model (QPM) can be rigorously derived from the SHM. Based on such results, the phase boundaries of the SHM are mapped to the BHM ones, while the phase diagram of the QPM is related to that of the SHM. The QPM's phase diagram obtained through the application of our approach to the SHM, describes the known onset of the macroscopic phase coherence from the Coulomb blockade regime for increasing Josephson coupling constant. The BHM and the QPM phase diagrams are in good agreement with quantum Monte Carlo results, and with the third-order strong-coupling perturbative expansion.
引用
收藏
页码:1224 / 1237
页数:14
相关论文
共 44 条
[1]   DYNAMICS OF SUPERFLUID FILMS [J].
AMBEGAOKAR, V ;
HALPERIN, BI ;
NELSON, DR ;
SIGGIA, ED .
PHYSICAL REVIEW B, 1980, 21 (05) :1806-1826
[2]   Dynamical mean field theory of the Bose-Hubbard model [J].
Amico, L ;
Penna, V .
PHYSICAL REVIEW LETTERS, 1998, 80 (10) :2189-2192
[3]   MAGNETIC GROUP ON THE PSEUDOSPHERE [J].
BARONE, V ;
PENNA, V ;
SODANO, P .
INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 1992, 6 (21) :3525-3537
[4]   WORLD-LINE QUANTUM MONTE-CARLO ALGORITHM FOR A ONE-DIMENSIONAL BOSE MODEL [J].
BATROUNI, GG ;
SCALETTAR, RT .
PHYSICAL REVIEW B, 1992, 46 (14) :9051-9062
[5]   PHASE AND ANGLE VARIABLES IN QUANTUM MECHANICS [J].
CARRUTHERS, P ;
NIETO, MM .
REVIEWS OF MODERN PHYSICS, 1968, 40 (02) :411-+
[6]   CHARGE SOLITONS AND QUANTUM FLUCTUATIONS IN 2-DIMENSIONAL ARRAYS OF SMALL JOSEPHSON-JUNCTIONS [J].
DELSING, P ;
CHEN, CD ;
HAVILAND, DB ;
HARADA, Y ;
CLAESON, T .
PHYSICAL REVIEW B, 1994, 50 (06) :3959-3971
[7]  
EFETOV KB, 1980, ZH EKSP TEOR FIZ+, V78, P2017
[8]  
FISHER MPA, 1989, PHYS REV B, V40, P546, DOI [10.1103/PhysRevB.40.546, 10.1063/1.38820]
[9]   QUANTUM CRITICAL PHENOMENA IN CHARGED SUPERCONDUCTORS [J].
FISHER, MPA ;
GRINSTEIN, G .
PHYSICAL REVIEW LETTERS, 1988, 60 (03) :208-211
[10]   PHASE-DIAGRAM OF THE BOSE-HUBBARD MODEL [J].
FREERICKS, JK ;
MONIEN, H .
EUROPHYSICS LETTERS, 1994, 26 (07) :545-550