Shortcut to adiabaticity for an interacting Bose-Einstein condensate

Abstract

We present an investigation of the fast decompression of a three-dimensional (3D) Bose-Einstein condensate (BEC) at finite temperature using an engineered trajectory for the harmonic trapping potential. Taking advantage of the scaling invariance properties of the time-dependent Gross-Pitaevskii equation, we exhibit a solution yielding a final state identical to that obtained through a perfectly adiabatic transformation, in a much shorter time. Experimentally, we perform a large trap decompression and displacement within a time comparable to the final radial trapping period. By simultaneously monitoring the BEC and the non-condensed fraction, we demonstrate that our specific trap trajectory is valid both for a quantum interacting many-body system and a classical ensemble of non-interacting particles.

5 pages, 4 figures

References in corpus (23)

• Theory of Bose-Einstein condensation in trapped gases
• Decoherence, einselection, and the quantum origins of the classical
• Fast optimal frictionless atom cooling in harmonic traps
• Shortcut to adiabatic passage in two and three level atoms
• Evolution of a Bose-condensed gas under variations of the confining potential
• Observation of the scissors mode and superfluidity of a trapped Bose-Einstein condensed gas
• A Quantum Adiabatic Algorithm for Factorization and Its Experimental Implementation
• Scissors mode and superfluidity of a trapped Bose-Einstein condensed gas
• Fast optimal transition between two equilibrium states
• The transverse breathing mode of an elongated Bose-Einstein condensate
• Quantum Adiabatic Brachistochrone
• Frictionless dynamics of Bose-Einstein condensates under fast trap variations
• Optimal quantum control of Bose Einstein condensates in magnetic microtraps
• Optimal transport of ultracold atoms in the non-adiabatic regime
• Transitionless quantum drivings for the harmonic oscillator
• Optimization of segmented linear Paul traps and transport of stored particles
• Optimal control of atom transport for quantum gates in optical lattices
• Adiabatic preparation of many-body states in optical lattices
• Double-well magnetic trap for Bose-Einstein condensates
• Ideal Gases in Time-Dependent Traps
• Consequence of superfluidity on the expansion of a rotating Bose-Einstein condensate
• Enhancement of the scissors mode of an expanding Bose-Einstein condensate
• Interferometry using spatial adiabatic passage in quantum dot networks

Cited by in corpus (131)

• Shortcuts to adiabaticity: concepts, methods, and applications
• Shortcuts to adiabaticity
• Shortcuts to adiabaticity by counter-diabatic driving
• Lewis-Riesenfeld invariants and transitionless tracking algorithm
• Optimally robust shortcuts to population inversion in two-level quantum systems
• Universality of Phase Transition Dynamics: Topological Defects from Symmetry Breaking
• More bang for your buck: Towards super-adiabatic quantum engines
• Classical and quantum shortcuts to adiabaticity for scale-invariant driving
• Accelerated quantum control using superadiabatic dynamics in a solid-state lambda system
• Multiple Schrödinger pictures and dynamics in shortcuts to adiabaticity
• Fast population transfer engineering of three-level systems
• Irreversible work and inner friction in quantum thermodynamic processes
• Frictionless quantum quenches in ultracold gases: a quantum dynamical microscope
• Engineered swift equilibration of a Brownian particle
• Generating shortcuts to adiabaticity in quantum and classical dynamics
• Optimal trajectories for efficient atomic transport without final excitation
• The role of coherence in the non-equilibrium thermodynamics of quantum systems
• Scaling-up quantum heat engines efficiently via shortcuts to adiabaticity
• Fast and noise-resistant implementation of quantum phase gates and creation of quantum entangled states
• Shortcuts to adiabaticity in a time-dependent box
• Shortcuts to adiabatic passage for population transfer and maximum entanglement creation between two atoms in a cavity
• Shortcuts to adiabaticity: fast-forward approach
• Shortcuts to adiabaticity for non-Hermitian systems
• Method for constructing shortcuts to adiabaticity by a substitute of counterdiabatic driving terms
• Cooling and thermometry of atomic Fermi gases
• Shortcuts to adiabaticity for trapped ultracold gases
• Performance of superadiabatic quantum machines
• Performance of shortcut-to-adiabaticity quantum engines
• Fast transport of Bose-Einstein condensates
• Fast preparation of W states with superconducting quantum interference devices by using dressed states
• Focus on Shortcuts to Adiabaticity
• Fast and robust spin manipulation in a quantum dot by electric fields
• Non-destructive Faraday imaging of dynamically controlled ultracold atoms
• Shortcuts to Adiabaticity in Driven Open Quantum Systems: Balanced Gain and Loss and Non-Markovian Evolution
• Fast transitionless expansions of cold atoms in optical Gaussian beam traps
• High-fidelity rapid ground-state loading of an ultracold gas into an optical lattice
• Shortcuts to adiabaticity using flow fields
• Shortcut-to-adiabaticity Otto engine: A twist to finite-time thermodynamics
• Shortcuts to adiabatic passage for multiqubit controlled phase gate
• Exact non-equilibrium solutions of the Boltzmann equation under a time-dependent external force
• An efficient non-linear Feshbach engine
• Fast frictionless dynamics as a toolbox for low-dimensional Bose-Einstein condensates
• Shortcuts to adiabatic passage for fast generation of Greenberger-Horne-Zeilinger states by transitionless quantum driving
• Vibrational state inversion of a Bose-Einstein condensate: optimal control and state tomography
• Fast manipulation of Bose-Einstein condensates with an atom chip
• Transport in a harmonic trap: shortcuts to adiabaticity and robust protocols
• Fast quantum state engineering via universal SU(2) transformation
• Fast generation of spin-squeezed states in bosonic Josephson junctions
• Shortcut loading atoms into an optical lattice
• Rapid counter-diabatic sweeps in lattice gauge adiabatic quantum computing
• Shortcut-to-adiabaticity quantum Otto refrigerator
• Shortcuts to Adiabaticity in Krylov Space
• Shortcuts to adiabaticity in the strongly-coupled regime: nonadiabatic control of a unitary Fermi gas
• Shortcuts to adiabatic passage for multiparticle in distant cavities: Applications to fast and noise-resistant quantum population transer, entangled states' preparation and transition
• Optimized sympathetic cooling of atomic mixtures via fast adiabatic strategies
• Reverse engineering of a Hamiltonian by designing the evolution operators
• Optimal shortcut approach based on an easily obtained intermediate Hamiltonian
• Fast and robust control of two interacting spins
• Controlling quantum critical dynamics of isolated systems
• Thermal bath Engineering for Swift Equilibration
• From Classical Nonlinear Integrable Systems to Quantum Shortcuts to Adiabaticity
• Invariant-based inverse engineering for fluctuation transfer between membranes in an optomechanical cavity system
• Optimal control of Bose-Einstein condensates in three dimensions
• Acceleration of adiabatic transport of interacting particles and rapid manipulations of dilute Bose gas in ground state
• Fast-forward scaling in a finite-dimensional Hilbert space
• Work and Efficiency of Quantum Otto Cycles in Power Law Trapping Potentials
• Adiabatic passage for three-dimensional entanglement generation through quantum Zeno dynamics
• Approaching the adiabatic timescale with machine-learning
• Superadiabatic thermalization of a quantum oscillator by engineered dephasing
• Quantum Control via Enhanced Shortcuts to Adiabaticity
• Suppression of work fluctuations by optimal control: An approach based on Jarzynski's equality
• Shortcuts to adiabaticity in Fermi gases
• Rapid coherent control of population transfer in lattice systems
• Shortcut to adiabatic control of soliton matter waves by tunable interaction
• Transitionless-based shortcuts for the fast and robust generation of W states
• Enhanced backscattering of a dilute Bose-Einstein condensate
• Squeezing and robustness of frictionless cooling strategies
• Hamiltonian engineering for adiabatic quantum computation: Lessons from shortcuts to adiabaticity
• Transient particle energies in shortcuts to adiabatic expansions of harmonic traps
• Fast and stable manipulation of a charged particle in a Penning trap
• Contrast and phase-shift of a trapped atom interferometer using a thermal ensemble with internal state labelling
• Classical and quantum shortcuts to adiabaticity in a tilted piston
• Deterministic SWAP gate using shortcuts to adiabatic passage
• A Feshbach engine in the Thomas-Fermi regime
• A fully efficient time-parallelized quantum optimal control algorithm
• Accelerated adiabatic quantum gates: optimizing speed versus robustness
• Time-Optimal Adiabatic-Like Expansion of Bose-Einstein Condensates
• Fast transitionless expansions of Gaussian anharmonic traps for cold atoms: bang-singular-bang control
• Shortcuts to adiabaticity with general two-level non-Hermitian systems
• Thermodynamic engine with a quantum degenerate working fluid
• Spin-selective electron transfer in quantum dot array
• Generation of three-dimensional entanglement between two spatially separated atoms via shortcuts to adiabatic passage
• Guided atom laser: transverse mode quality and longitudinal momentum distribution
• Thermodynamic Cost for Classical Counterdiabatic Driving
• Fast expansions and compressions of trapped-ion chains
• Exact Delta Kick Cooling, Time-Optimal Control of Scale-Invariant Dynamics, and Shortcuts to Adiabaticity Assisted by Kicks
• Unitary deformations of counterdiabatic driving
• Connection between inverse engineering and optimal control in shortcuts to adiabaticity
• Shortcuts to adiabaticity applied to nonequilibrium entropy production: An information geometry viewpoint
• Shortcut to adiabaticity in a Stern-Gerlach apparatus
• Squeezed Ground States in a Spin-1 Bose-Einstein Condensate
• Taming quantum systems: A tutorial for using shortcuts-to-adiabaticity, quantum optimal control, and reinforcement learning
• Shortcuts to adiabaticity for an interacting Bose-Einstein condensate via exact solutions of the generalized Ermakov equation
• Shortcuts to Adiabaticity Assisted by Counterdiabatic Born-Oppenheimer Dynamics
• Ehrenfest Dynamics and Frictionless Cooling Methods
• Improving shortcuts to non-Hermitian adiabaticity for fast population transfer in open quantum systems
• The Emergency of Pico-Kelvin Physics
• Ion transport in macroscopic RF linear traps
• Fast and robust particle shuttling for quantum science and technology
• Nonadiabatic energy fluctuations of scale-invariant quantum systems in a time-dependent trap
• Self-Accelerating Matter Waves
• Accelerating population transfer in a transmon qutrit via Shortcuts to adiabaticity
• Fast Frictionless Expansion of an Optical Lattice
• Fast-forward scaling theory
• Superadiabatic generation of cat states in bosonic Josephson junctions under particle losses
• Transitionless quantum driving based wireless power transfer
• Shortcut to stationary regimes: a simple experimental demonstration
• Stable and Efficient Charging of Superconducting Capacitively Shunted Flux Quantum Batteries
• Effective self-similar expansion of a Bose-Einstein condensate: Free space vs confined geometries
• Protection of quantum states from disturbance due to random potential by successive translation
• Effective Scaling Approach to Frictionless Quantum Quenches in Trapped Bose Gases
• High fidelity control of a many-body Tonks--Girardeau gas with an effective mean-field approach
• Accelerating adiabatic quantum transfer for three-level $\Lambda$-type structure systems via picture transformation
• Robust spatial coherence 5$\mu$m from a room-temperature atom chip
• Scaling dynamics of the ultracold Bose gas
• Exact Dynamics and Shortcuts to Adiabaticity in the Tomonaga-Luttinger Liquid
• Transitionless Quantum Driving of the Tomonaga-Luttinger Liquid
• Fast ion shuttling which is robust versus oscillatory perturbations
• Three-dimensional compacted optical waveguide couplers designed by invariant engineerings
• The Role of Singular Control in Frictionless Atom Cooling in a Harmonic Trapping Potential
• Highly efficient charging and discharging of three-level quantum batteries through shortcuts to adiabaticity