2011
DOI: 10.1103/physreva.83.023613
|View full text |Cite
|
Sign up to set email alerts
|

Quantum rotor theory of spinor condensates in tight traps

Abstract: In this work, we theoretically construct exact mappings of many-particle bosonic systems onto quantum rotor models. In particular, we analyze the rotor representation of spinor Bose-Einstein condensates. In a previous work [1] it was shown that there is an exact mapping of a spin-one condensate of fixed particle number with quadratic Zeeman interaction onto a quantum rotor model. Since the rotor model has an unbounded spectrum from above, it has many more eigenstates than the original bosonic model. Here we sh… Show more

Help me understand this report
View preprint versions

Search citation statements

Order By: Relevance

Paper Sections

Select...
3
1
1

Citation Types

0
36
0

Year Published

2011
2011
2013
2013

Publication Types

Select...
6

Relationship

0
6

Authors

Journals

citations
Cited by 18 publications
(37 citation statements)
references
References 50 publications
0
36
0
Order By: Relevance
“…whereâ † m is the creation operator of a particle with zero momentum and magnetic quantum number m F = m. Since these states are not the exact eigenstates of the many-body Hamiltonian (2), they will undergo quantum diffusions in spin space [44][45][46][47] and induce MQT. We now estimate the time scale of MQT by restricting the Hilbert space to the two states at local energy minima.…”
Section: Macroscopic Quantum Tunnelingmentioning
confidence: 99%
“…whereâ † m is the creation operator of a particle with zero momentum and magnetic quantum number m F = m. Since these states are not the exact eigenstates of the many-body Hamiltonian (2), they will undergo quantum diffusions in spin space [44][45][46][47] and induce MQT. We now estimate the time scale of MQT by restricting the Hilbert space to the two states at local energy minima.…”
Section: Macroscopic Quantum Tunnelingmentioning
confidence: 99%
“…Such super-Poissonian fluctuations ( N 2 0 ∝ N 0 2 ) deviate strongly from the value expected for a single condensate or any ensemble without correlations where N 2 0 ∝ N 0 . 3 It was pointed out by Ho and Yip [6] that such a state was probably not realized in typical experiments, due to its fragility toward any perturbation breaking spin rotational symmetry (see also [9][10][11][12][13][14]). In the thermodynamic limit N → ∞, an arbitrary small symmetrybreaking perturbation is enough to favor a regular condensed state, where almost all the atoms occupy the same (spinor) condensate wave function and N 0 N .…”
Section: Introductionmentioning
confidence: 99%
“…The dominant effect of an applied magnetic field is a second-order (or quadratic) Zeeman energy, of the form q(m 2 − 1) for a single atom in the Zeeman state with magnetic quantum number m. 4 The quadratic Zeeman (QZ) energy breaks the spin rotational symmetry, and favors a condensed state with m = 0 along the field direction. In [10][11][12][13], the evolution of the ground state with the QZ energy q was studied theoretically. Since experiments are likely to operate far from the ground state, it is important to understand quantitatively how the system behaves at finite temperatures.…”
Section: Introductionmentioning
confidence: 99%
“…(15). On general grounds we expect this to be a good description when the number of particles N is large, in which case the operators A m , A † m can be treated as classical amplitudes A m , A * m of 'order √ N '.…”
Section: A Qualitative Features Of Reduced Dynamicsmentioning
confidence: 99%
“…Refs. [14,15] recently extended this description to the full spectrum in the single mode approximation. The rotor formulation is quite different from the approach pursued in this work, however.…”
Section: Introductionmentioning
confidence: 99%