Fast transport of Bose-Einstein condensates in anharmonic traps
arXiv:2210.03788 · doi:10.1098/rsta.2021.0280
Abstract
We present a method to transport Bose-Einstein condensates (BECs) in anharmonic traps and in the presence of atom-atom interactions in short times without residual excitation. Using a combination of a variational approach and inverse engineering methods, we derive a set of Ermakov-like equations that take into account the coupling between the center of mass motion and the breathing mode. By an appropriate inverse engineering strategy of those equations, we then design the trap trajectory to achieve the desired boundary conditions. Numerical examples for cubic or quartic anharmonicities are provided for fast and high-fidelity transport of BECs. Potential applications are atom interferometry and quantum information processing.
arXiv comment8 pages, 5 figures
References in corpus (37)
- Shortcuts to adiabaticity: concepts, methods, and applications
- Fast optimal frictionless atom cooling in harmonic traps
- Shortcuts to adiabaticity
- Classical and quantum shortcuts to adiabaticity for scale-invariant driving
- Controlling fast transport of cold trapped ions
- Coherent Diabatic Ion Transport and Separation in a Multi-Zone Trap Array
- Fast atomic transport without vibrational heating
- Transport of Bose-Einstein Condensates with Optical Tweezers
- Fast-forward of adiabatic dynamics in quantum mechanics
- Shortcuts to adiabaticity by counterdiabatic driving for trapped-ion displacement in phase space
- Optimal trajectories for efficient atomic transport without final excitation
- Optimal transport of ultracold atoms in the non-adiabatic regime
- Fast transport of Bose-Einstein condensates
- Fast transitionless expansions of cold atoms in optical Gaussian beam traps
- Fast manipulation of Bose-Einstein condensates with an atom chip
- Controlling the transport of an ion: Classical and quantum mechanical solutions
- Persistence of a Non-Equilibrium State: Observation of a Boltzmannian Special Case
- High-fidelity fast quantum transport with imperfect controls
- Dynamics of Bose-Einstein condensates in cigar-shaped traps
- Fast transport of two ions in an anharmonic trap
- Collective excitations of a Bose-Einstein condensate in an anharmonic trap
- Optical transport and manipulation of an ultracold atomic cloud using focus-tunable lenses
- Acceleration of adiabatic transport of interacting particles and rapid manipulations of dilute Bose gas in ground state
- Fast and optimal transport of atoms with non-harmonic traps
- Quantum Control via Enhanced Shortcuts to Adiabaticity
- Contrast and phase-shift of a trapped atom interferometer using a thermal ensemble with internal state labelling
- Fast shuttling of a particle under weak spring-constant noise of the moving trap
- Fast transitionless expansions of Gaussian anharmonic traps for cold atoms: bang-singular-bang control
- Transport of Atom Packets in a Train of Ioffe-Pritchard Traps
- Decoherence and dephasing errors caused by D.C. Stark effect in rapid ion transport
- Quantum heat engine based on a spin-orbit and Zeeman-coupled Bose-Einstein condensate
- Modulated trapping of interacting bosons in one dimension
- Robustness of Enhanced Shortcuts to Adiabaticity in Lattice Transport
- Classical phase-space approach for coherent matter waves
- Wavepacket Dynamics in Nonlinear Schrödinger Equations
- Improved anharmonic trap expansion through enhanced shortcuts to adiabaticity
- Trigonometric protocols for shortcuts to adiabatic transport of cold atoms in anharmonic traps