Physics – Condensed Matter – Quantum Gases
Scientific paper
2012-03-02
Physics
Condensed Matter
Quantum Gases
revised version: typos corrected, detailed explanations and references added
Scientific paper
We analyze the nature of quantum phase transition to a superfluid state of flexible chains in a gas of polar bosonic molecules confined in a stack of $N$ identical 1d ("cigar" type) optical lattice layers and polarized perpendicularly to the layers. Monte Carlo simulations within the $J$-current model show that, in the absence of the inter-tube tunneling, the transition to the $N$-layered superfluid is in the Berezinskii-Kosterlitz-Thouless universality class in the one-particle density matrix channel. The inter-layer tunneling changes it to the $q=N$ 2d Potts universality. The low energy field descriptions of the transition are discussed in terms of conformal field theories.
Kuklov Anatoly
Tsvelik Alexei
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