Fluctuation-induced and symmetry-prohibited metastabilities in spinor Bose-Einstein condensates
arXiv:1301.3642 · doi:10.1103/PhysRevA.88.043629
Abstract
Spinor Bose-Einstein condensates provide a unique example in which the Bogoliubov theory fails to describe the metastability associated with first-order quantum phase transitions. This problem is resolved by developing the spinor Beliaev theory which takes account of quantum fluctuations of the condensate. It is these fluctuations that generate terms of higher than the fourth order in the order-parameter field which are needed for the first-order phase transitions. Besides the conventional first-order phase transitions which are accompanied by metastable states, we find a class of first-order phase transitions which are not accompanied by metastable states. The absence of metastability in these phase transitions holds to all orders of approximation since the metastability is prohibited by the symmetry of the Hamiltonian at the phase boundary. Finally, the possibility of macroscopic quantum tunneling from a metastable state to the ground state is discussed.
5 pages, 1 figure
References in corpus (11)
- Many-Body Physics with Ultracold Gases
- Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
- Precision measurement of spin-dependent interaction strengths for spin-1 and spin-2 87Rb atoms
- Mean-field and stability analysis of two-dimensional flowing soft-core bosons modeling a supersolid
- Phases and Transitions in the Spin-1 Bose-Hubbard Model: Systematics of a Mean-field Theory
- Quasi-Nambu-Goldstone Modes in Bose-Einstein Condensates
- First- and second-order superfluid--Mott-insulator phase transitions of spin-1 bosons with coupled ground states in optical lattices
- Quantum-Fluctuation-Driven Coherent Spin Dynamics in Small Condensates
- Bose-Einstein condensates of atoms with arbitrary spin
- Dynamical symmetry in spinor Bose-Einstein condensates
- Beliaev theory of spinor Bose-Einstein condensates
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- Phase characterization of spinor Bose-Einstein condensates: a Majorana stellar representation approach
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