Towards a Landau-Zener formula for an interacting Bose-Einstein condensate
arXiv:quant-ph/0602163 · doi:10.1103/PhysRevA.73.063609
Abstract
We consider the Landau-Zener problem for a Bose-Einstein condensate in a linearly varying two-level system, for the full many-particle system as well and in the mean-field approximation. The many-particle problem can be solved approximately within an independent crossings approximation, which yields an explicit Landau-Zener formula.
RevTeX, 8 pages, 9 figures
References in corpus (11)
- Superfluidity of Bose-Einstein Condensate in An Optical Lattice: Landau-Zener Tunneling and Dynamical Instability
- Theory of nonlinear Landau-Zener tunneling
- Condensates beyond mean field theory: quantum backreaction as decoherence
- Adiabatic Theory of Nonlinear Evolution of Quantum States
- Dynamics of a two-mode Bose-Einstein condensate beyond mean-field theory
- Mean-field dynamics of a Bose-Einstein condensate in a time-dependent triple-well trap: Nonlinear eigenstates, Landau-Zener models and STIRAP
- Time-dependent tunneling of Bose-Einstein condensates
- Landau-Zener transition in a multilevel system. An exact result
- Counterintuitive transitions in the multistate Landau-Zener problem with linear level crossings
- Second-quantized Landau-Zener theory for dynamical instabilities
- Excitonic - vibronic coupled dimers: A dynamic approach
Cited by in corpus (65)
- A non-Hermitian symmetric Bose-Hubbard model: eigenvalue rings from unfolding higher-order exceptional points
- Mean-field dynamics of a non-Hermitian Bose-Hubbard dimer
- Dissipative Landau-Zener transitions of a qubit: bath-specific and universal behavior
- Josephson Oscillation and Transition to Self-Trapping for Bose-Einstein-Condensates in a Triple-Well Trap
- Beyond mean-field dynamics of small Bose-Hubbard systems based on the number-conserving phase space approach
- Universal Rephasing Dynamics after a Quantum Quench via Sudden Coupling of Two Initially Independent Condensates
- Quantum dynamics in the bosonic Josephson junction
- Dielectric Breakdown in a Mott Insulator: Many-body Schwinger-Landau-Zener Mechanism studied with a Generalized Bethe Ansatz
- Semiclassical approach to Bose-Einstein condensates in a triple well potential
- Phase-diffusion dynamics in weakly coupled Bose-Einstein condensates
- Semiclassical quantization of an N-particle Bose-Hubbard model
- Dissipation induced coherence and stochastic resonance of an open two-mode Bose-Einstein condensate
- Manipulation of matter waves using Bloch and Bloch-Zener oscillations
- On the effective Dirac dynamics of ultracold atoms in bichromatic optical lattices
- Bose-Einstein condensates in accelerated double-periodic optical lattices: Coupling and Crossing of resonances
- Nonlinear Landau-Zener tunneling in quantum phase space
- Universality in nonadiabatic behaviour of classical actions in nonlinear models with separatrix crossings
- Occupation Statistics of a BEC for a Driven Landau-Zener Crossing
- Landau-Zener sweeps and sudden quenches in coupled Bose-Hubbard chains
- Nonlinear resonant tunneling of Bose-Einstein condensates in tilted optical lattices
- Nonlinear Landau-Zener Processes in a Periodic Driving Field
- Nucleation in finite topological systems during continuous metastable quantum phase transitions
- Many-body Landau-Zener tunneling in the Bose-Hubbard model
- Adiabaticity in nonreciprocal Landau-Zener tunneling
- Nonlinear Landau-Zener Tunnelling in Coupled Waveguide Arrays
- Quantum dynamics of Bose-Einstein condensates in tilted and driven bichromatic optical lattices
- The nonlinear Schroedinger equation for the delta-comb potential: quasi-classical chaos and bifurcations of periodic stationary solutions
- Non-exponential tunneling due to mean-field induced swallowtails
- WKB approach and quantum corrections to classical dynamics in the Josephson problem
- Nonlinear energy transfer in classical and quantum systems
- Adiabatic passage through chaos
- Nonlinearity-assisted quantum tunneling in a matter-wave interferometer
- Adiabatic state preparation of interacting two-level systems
- Adiabatic transport of Bose-Einstein condensate in double-well trap
- Phase diagram of Landau-Zener phenomena in coupled one-dimensional Bose quantum fluids
- Finite-rate quenches of site bias in the Bose-Hubbard dimer
- Interaction induced Landau-Zener transitions
- Uniform semiclassical approximations of the nonlinear Schroedinger equation by a Painleve mapping
- Generalized formula for the Landau-Zener transition in interacting Bose-Einstein condensates
- Many-body adiabatic passage: Quantum detours around chaos
- Semiclassical Spectrum of Small Bose-Hubbard Chains: A Normal Form Approach
- Coherent injecting, extracting, and velocity filtering of neutral atoms in a ring trap via spatial adiabatic passage
- Floquet eigenspectra of a nonlinear two-mode system under periodic driving: the emergence of "ring" structures
- Exceptional points in bichromatic Wannier-Stark systems
- Non-Hermitian quantum rings
- Non-adiabatic transitions in a non-symmetric optical lattice
- Landau-Zener problem with waiting at the minimum gap and related quench dynamics of a many-body system
- Solution to the Landau-Zener problem via Susskind-Glogower operators
- Photon-induced sideband transitions in a many-body Landau-Zener process
- Nonadiabatic multichannel dynamics of a spin-orbit coupled condensate
- Interaction-induced dynamical phase locking of Bose-Einstein condensates
- Landau-Zener transition in quadratic-nonlinear two-state systems
- Probabilistic Hysteresis in an Isolated Quantum System: The Microscopic Onset of Irreversibility from a Quantum Perspective
- Landau-Zener transitions in a fermionic dissipative environment
- Many-body adiabatic passage: Instability, chaos, and quantum classical correspondence
- Tunable nonlinear Landau-Zener tunnelings in a spin-orbit-coupled spinor Bose-Einstein condensate
- Matter-wave scattering on a BEC in a double-well potential
- Probabilistic Hysteresis from a Quantum Phase Space Perspective
- Multiple-time-scale Landau-Zener transitions in many-body systems
- Demkov-Kunike model in cold molecule formation
- Electric circuit analog of Landau-Zener tunneling using time-varying elements
- Dynamical Phase Transition of two-component Bose-Einstein condensate with nonlinear tunneling in an optomechanical cavity-mediated double-well system
- Integrability in the multistate Landau-Zener model with time-quadratic commuting operators
- On the quantization of AB phase in nonlinear systems
- Theory of anomalous Landau-Zener tunneling induced by nonlinear coupling