Stochastic simulation of a finite-temperature one-dimensional Bose gas: From the Bogoliubov to the Tonks-Girardeau regime

Journal Article · Fri Apr 01 00:00:00 EST 2005 · Physical Review. A

DOI:https://doi.org/10.1103/PhysRevA.71.041601· OSTI ID:20653241

Schmidt, B; Plimak, L I; Fleischhauer, M ^[1]

---

1. Fachbereich Physik, Technische Universitaet, Kaiserslautern, D-67663 Kaiserslautern (Germany)

We present an ab initio stochastic method for calculating thermal properties of a trapped, one-dimensional Bose gas covering the whole range from weak to strong interactions. Discretization of the problem results in a Bose-Hubbard-type Hamiltonian, whose imaginary time evolution is made computationally accessible by stochastic factorization of the kinetic energy. To achieve convergence for low enough temperatures such that quantum fluctuations are essential, the stochastic factorization is generalized to blocks, and ideas from density-matrix renormalization are employed. We compare our numerical results for density and first-order correlations with analytic predictions.

• OSTI ID: 20653241
• Journal Information: Physical Review. A, Vol. 71, Issue 4; Other Information: DOI: 10.1103/PhysRevA.71.041601; (c) 2005 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
BOSE-EINSTEIN GAS
BOSONS
COMPARATIVE EVALUATIONS
CONVERGENCE
CORRELATIONS
DENSITY
DENSITY MATRIX
EVOLUTION
FACTORIZATION
FLUCTUATIONS
HAMILTONIANS
KINETIC ENERGY
ONE-DIMENSIONAL CALCULATIONS
RENORMALIZATION
SIMULATION
STOCHASTIC PROCESSES
STRONG INTERACTIONS
THERMODYNAMIC PROPERTIES
TRAPPING