Macroscopic superposition states of ultracold bosons in a double-well potential
arXiv:1111.2031 · doi:10.1007/s11467-011-0236-6
Abstract
We present a thorough description of the physical regimes for ultracold bosons in double wells, with special attention paid to macroscopic superpositions (MSs). We use a generalization of the Lipkin-Meshkov-Glick Hamiltonian of up to eight single particle modes to study these MSs, solving the Hamiltonian with a combination of numerical exact diagonalization and high-order perturbation theory. The MS is between left and right potential wells; the extreme case with all atoms simultaneously located in both wells and in only two modes is the famous NOON state, but our approach encompasses much more general MSs. Use of more single particle modes brings dimensionality into the problem, allows us to set hard limits on the use of the original two-mode LMG model commonly treated in the literature, and also introduces a new mixed Josephson-Fock regime. Higher modes introduce angular degrees of freedom and MS states with different angular properties.
15 pages, 8 figures, 1 table. Mini-review prepared for the special issue of Frontiers of Physics "Recent Progresses on Quantum Dynamics of Ultracold Atoms and Future Quantum Technologies", edited by Profs. Lee, Ueda, and Drummond
References in corpus (28)
- The density-matrix renormalization group in the age of matrix product states
- Matter-wave interferometry in a double well on an atom chip
- A lattice of double wells for manipulating pairs of cold atoms
- The multi-configurational time-dependent Hartree method for bosons: Many-body dynamics of bosonic systems
- Orbital superfluidity in the -band of a bipartite optical square lattice
- State preparation and dynamics of ultracold atoms in higher lattice orbitals
- Non-equilibrium dynamics of bosonic atoms in optical lattices: Decoherence of many-body states due to spontaneous emission
- General variational many-body theory with complete self-consistency for trapped bosonic systems
- Adiabatic Mach-Zehnder Interferometry on A Quantized Bose-Josephson Junction
- Analytical solutions for the dynamics of two trapped interacting ultracold atoms
- Condensate splitting in an asymmetric double well for atom chip based sensors
- Number squeezing, quantum fluctuations and oscillations in mesoscopic Bose Josephson junctions
- Commutability between Semiclassical Limit and Adiabatic Limit
- Tunneling dynamics of few bosons in a double well
- A Primary Noise Thermometer for Ultracold Bose Gases
- Coherence and entanglement in the ground-state of a bosonic Josephson junction:from macroscopic Schrödinger cats to separable Fock states
- Robust Mesoscopic Superposition of Strongly Correlated Ultracold Atoms
- Phase-Dependent Spontaneous Spin Polarization and Bifurcation Delay in Coupled Two-Component Bose-Einstein Condensates
- Continuous unitary transformations in two-level boson systems
- Macroscopic Superpositions of Phase States with Bose-Einstein Condensates
- Quasi-spin Model for Macroscopic Quantum Tunnelling between Two Coupled Bose-Einstein Condensates
- Creation of macroscopic superposition states from arrays of Bose-Einstein condensates
- Beyond standard two-mode dynamics in Bosonic Josephson junctions
- Macroscopic Superposition of Ultracold Atoms with Orbital Degrees of Freedom
- Tunneling phase gate for neutral atoms in a double-well lattice
- Quantum pump for counter-circulations in a spinor Bose-Einstein condensate
- Continuous measurements enhanced self-trapping of degenerate ultra-cold atoms: Nonlinear Quantum Zeno Effect
- Creation of macroscopic quantum superposition states by a measurement
Cited by in corpus (23)
- Physics of higher orbital bands in optical lattices: a review
- Interferometry with non-classical motional states of a Bose-Einstein condensate
- Josephson physics of spin-orbit coupled elongated Bose-Einstein condensates
- Sharp crossover from composite fermionization to phase separation in mesoscopic mixtures of ultracold bosons
- Tunneling, self-trapping and manipulation of higher modes of a BEC in a double well
- Relaxation, chaos, and thermalization in a three-mode model of a BEC
- NOON state of Bose atoms in the double-well potential via an excited state quantum phase transition
- NOON states with ultracold bosonic atoms via resonance- and chaos-assisted tunneling
- Infinite Barriers and Symmetries for a Few Trapped Particles in One Dimension
- Mesoscopic superpositions of Tonks-Girardeau states and the Bose-Fermi mapping
- Thermalization in closed quantum systems: semiclassical approach
- Quantum properties of a binary bosonic mixture in a double well
- Effective two-mode description of a few ultra-cold bosons in a double-well potential
- Interaction blockade for bosons in an asymmetric double well
- Quantum Magnetism with Mesoscopic Bose-Einstein Condensates
- Mesoscopic Bose-Einstein condensates as quantum simulators
- Vortex macroscopic superpositions in ultracold bosons in a double-well potential
- Interaction-controlled impurity transport in trapped mixtures of ultracold bosons
- Relaxation dynamics of ultracold bosons in a double-well potential: Thermalization and prethermalization in a nearly integrable model
- Quantum correlations of few dipolar bosons in a double-well trap
- Energy-level crossings and number-parity effects in a bosonic tunneling model
- Photon-induced Self Trapping and Entanglement of a Bosonic Josephson Junction Inside an Optical Resonator
- Josephson oscillation in the dissipative Bose-Hubbard dimer