Fidelity of a Bose-Einstein Condensate
arXiv:cond-mat/0503036 · doi:10.1103/PhysRevA.72.063623
Abstract
We investigate fidelity, the Loschmidt echo, for a Bose-Einstein Condensate. It is found that the fidelity decays with time in various ways (exponential, Gaussian, and power-law), depending on the choice of initial coherent state as well as the parameters that determine properties of the underlying classical dynamics. Moreover, high fidelity is found for initial states lying in the regular region of a mixed-type phase space. A possible experimental scheme is suggested.
5 pages and 6 figures
References in corpus (26)
- Sonic analog of gravitational black holes in Bose-Einstein condensates
- Environment-independent decoherence rate in classically chaotic systems
- Atom interferometry with Bose-Einstein condensates in a double-well potential
- Modulational instability in cigar shaped Bose-Einstein condensates in optical lattices
- Watching a superfluid untwist itself: Recurrence of Rabi oscillations in a Bose-Einstein condensate
- Golden rule decay versus Lyapunov decay of the quantum Loschmidt echo
- Condensates beyond mean field theory: quantum backreaction as decoherence
- Adiabatic Theory of Nonlinear Evolution of Quantum States
- Dynamic instability of a rotating Bose-Einstein condensate
- Modulational Instability and Complex Dynamics of Confined Matter-Wave Solitons
- Spontaneous soliton formation and modulational instability in Bose-Einstein condensates
- Dynamics of a two-mode Bose-Einstein condensate beyond mean-field theory
- Sensitivity of Wave Field Evolution and Manifold Stability in Chaotic Systems
- Entanglement of two-mode Bose-Einstein condensates
- Transition to Instability in a Kicked Bose-Einstein Condensate
- Creating maximally entangled atomic states in a Bose-Einstein condensate
- Dynamical Instability in a Trimeric Chain of Interacting Bose-Einstein Condensates
- A Uniform Approximation for the Fidelity in Chaotic Systems
- Quantum effects on dynamics of instabilities in Bose-Einstein condensates
- Hypersensitivity to perturbations of quantum-chaotic wave-packet dynamics
- Quantum Chaos of Bogoliubov Waves for a Bose-Einstein Condensate in Stadium Billiards
- Stability of Quantum Motion: Beyond Fermi-golden-rule and Lyapunov decay
- Crossover of quantum Loschmidt echo from golden rule decay to perturbation-independent decay
- Uniform semiclassical approach to fidelity decay in the deep Lyapunov regime
- Uniform Semiclassical Approach to Fidelity Decay: from Weak to Strong Perturbation
- Quantum Zeno subspace and entangled Bose-Einstein condensates
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- Decoherence, Entanglement and Irreversibility in Quantum Dynamical Systems with Few Degrees of Freedom
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- Collective excitations of a Bose-Einstein condensate in an anharmonic trap
- Butterfly Floquet Spectrum in Driven SU(2) Systems
- Stability of quantum motion in regular systems: a uniform semiclassical approach
- Continuous measurements enhanced self-trapping of degenerate ultra-cold atoms: Nonlinear Quantum Zeno Effect
- Multiparticle Entanglement Dynamics of Quantum Chaos in a Bose-Einstein condensate
- Engineering fidelity echoes in Bose-Hubbard Hamiltonians
- Generating a Fractal Butterfly Floquet Spectrum in a Class of Driven SU(2) Systems
- First and second sound of a unitary Fermi gas in highly oblate harmonic traps
- Quantum chaos in the mesoscopic device for the Josephson flux qubit
- Quantum resonance and anti-resonance for a periodically kicked Bose-Einstein Condensate in a one dimensional Box
- Stability of Fock states in a two-component Bose-Einstein condensate with a regular classical counterpart