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Dynamics of spin-1 bosons in an optical lattice: spin mixing, quantum phase revival spectroscopy and effective three-body interactions | | K. W. Mahmud
; E. Tiesinga
; | | Date: |
29 Apr 2013 | | Abstract: | We study the dynamics of spin-1 atoms in a periodic optical-lattice potential
and an external magnetic field in a quantum quench scenario where we start from
a superfluid ground state in a shallow lattice potential and suddenly raise the
lattice depth. The time evolution of the non-equilibrium state, thus created,
shows collective collapse-and-revival oscillations of matter-wave coherence as
well as oscillations in the spin populations. We show that the complex pattern
of these two types of oscillations reveals details about the superfluid and
magnetic properties of the initial many-body ground state. Furthermore, we show
that the strengths of the spin-dependent and spin-independent atom-atom
interactions can be deduced from the observations. The Hamiltonian that
describes the physics of the final deep lattice not only contains two-body
interactions but also effective multi-body interactions, which arise due to
virtual excitations to higher bands. We derive these effective spin-dependent
three-body interaction parameters for spin-1 atoms and describe how spin-mixing
is affected. Spinor atoms are unique in the sense that multi-body interactions
are directly evident in the in-situ number densities in addition to the
momentum distributions. We treat both antiferromagnetic (e.g. $^{23}$Na atoms)
and ferromagnetic (e.g. $^{87}$Rb and $^{41}$K) condensates. | | Source: | arXiv, 1304.7565 | | Services: | Forum | Review | PDF | Favorites | |
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