Dynamic generation of spin-squeezed states in bosonic Josephson junctions
arXiv:1205.6756 · doi:10.1103/PhysRevA.86.023615
Abstract
We analyze the formation of squeezed states in a condensate of ultracold bosonic atoms confined by a double-well potential. The emphasis is set on the dynamical formation of such states from initially coherent many-body quantum states. Two cases are described: the squeezing formation in the evolution of the system around the stable point, and in the short time evolution in the vicinity of an unstable point. The latter is shown to produce highly squeezed states on very short times. On the basis of a semiclassical approximation to the Bose-Hubbard Hamiltonian, we are able to predict the amount of squeezing, its scaling with and the speed of coherent spin formation with simple analytical formulas which successfully describe the numerical Bose-Hubbard results. This new method of producing highly squeezed spin states in systems of ultracold atoms is compared to other standard methods in the literature.
arXiv comment12 pages, revised discussion + added references
References in corpus (19)
- Many-Body Physics with Ultracold Gases
- Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
- Direct Observation of Tunneling and Nonlinear Self-Trapping in a single Bosonic Josephson Junction
- Quantum Coherent Atomic Tunneling between Two Trapped Bose-Einstein Condensates
- Many-particle entanglement with Bose--Einstein condensates
- Nonlinear atom interferometer surpasses classical precision limit
- Quantum spin squeezing
- Squeezing and entanglement in a Bose-Einstein condensate
- Quantum Superposition States of Bose-Einstein Condensates
- Classical bifurcation at the transition from Rabi to Josephson dynamics
- Condensates beyond mean field theory: quantum backreaction as decoherence
- The Thermodynamical Limit of the Lipkin-Meshkov-Glick Model
- Spin squeezing inequalities and entanglement of qubit states
- Equivalence of critical scaling laws for many-body entanglement in the Lipkin-Meshkov-Glick model
- Dynamics of a two-mode Bose-Einstein condensate beyond mean-field theory
- Ultracold Bosons in a Tilted Multi-level Double-Well Potential
- Macroscopic self trapping in BECs: analysis of a dynamical quantum phase transition
- Decoherence as a signature of an excited state quantum phase transition
- Bose-Einstein Condensates on slightly asymmetric double-well potentials
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