Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Miscible-Immiscible Quantum Phase Transition in Coupled
  Two-Component Bose-Einstein Condensates in 1D Optical Lattices   Using numerical techniques, we study the miscible-immiscible quantum phase
transition in a linearly coupled binary Bose-Hubbard model Hamiltonian that can
describe low-energy properties of a two-component Bose-Einstein condensate in
optical lattices. With the quantum many-body ground state obtained from density
matrix renormalization group algorithm, we calculate the characteristic
physical quantities of the phase transition controlled by the linear coupling
between two components. Furthermore we calculate the Binder cumulant to
determine the critical point and draw the phase diagram. The strong-coupling
expansion shows that in the Mott insulator regime the model Hamiltonian can be
mapped to a spin 1/2 XXZ model with a transverse magnetic field.

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The categories of this paper are: chao-dyn
26
The categories of this paper are: bayes-an
36
The categories of this paper are: cmp-lg
20
The categories of this paper are: acc-phys
1
The categories of this paper are: cs
27
The categories of this paper are: comp-gas
3
The categories of this paper are: physics
29
The categories of this paper are: funct-an
31
The categories of this paper are: ao-sci
6
The categories of this paper are: astro-ph
9
The categories of this paper are: nlin
13
The categories of this paper are: quant-ph
37
The categories of this paper are: supr-con
2
The categories of this paper are: math
24
The categories of this paper are: dg-ga
7
The categories of this paper are: hep-th