# Two-component Bose gas in an optical lattice at single-particle filling

Source: [Two-component Bose gas in an optical lattice at single-particle filling](<https://www.sota2.com/research/paper/68fa26282c2a3760193b715a>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-24T11:10:39.289Z

Authors: K. Ziegler

Published: 2003-08-12T18:15:14.000Z

## Abstract

The Bose-Hubbard model of a two-fold degenerate Bose gas is studied in an optical lattice with one particle per site and virtual tunneling to empty and doubly-occupied sites. An effective Hamiltonian for this system is derived within a continued-fraction approach. The ground state of the effective model is studied in mean-field approximation for a modulated optical lattice. A dimerized mean-field state gives a Mott insulator whereas the lattice without modulations develops long-range correlated phase fluctuations due to a Goldstone mode. This result is discussed in comparison with the superfluid and the Mott-insulating state of a single-component hard-core Bose.

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/cond-mat/0308235>)

[PDF](<https://arxiv.org/pdf/cond-mat/0308235.pdf>)