Frictionless quantum quenches in ultracold gases: a quantum dynamical microscope

Abstract

In this article, a method is proposed to spatially scale up a trapped ultracold gas while conserving the quantum correlations of the initial many-body state. For systems supporting self-similar dynamics, this is achieved by implementing a many-body finite-time frictionless quantum quench of the harmonic trap which acts as a quantum dynamical microscope.

5 pages, 3 figures

References in corpus (15)

• Many-Body Physics with Ultracold Gases
• Nonequilibrium dynamics of closed interacting quantum systems
• Single-Atom Resolved Fluorescence Imaging of an Atomic Mott Insulator
• Exact coherent states of a harmonically confined Tonks-Girardeau gas
• Shortcut to adiabaticity for an interacting Bose-Einstein condensate
• Fast optimal transition between two equilibrium states
• Exact hydrodynamics of a trapped dipolar Bose-Einstein condensate
• Fermionization in an expanding 1D gas of hard-core bosons
• Soluble Models of Strongly Interacting Ultracold Gas Mixtures in Tight Waveguides
• An Example of Quantum Anomaly in the Physics of Ultra-Cold Gases
• Fermionization and bosonization of expanding 1D anyonic fluids
• Correlations in an expanding gas of hard-core bosons
• Momentum distribution dynamics of a Tonks-Girardeau gas: Bragg reflections of a quantum many-body wavepacket
• Fermi-Bose transformation for the time-dependent Lieb-Liniger gas
• Symplectic tomography of ultracold gases in tight-waveguides

Cited by in corpus (107)

• Shortcuts to adiabaticity: concepts, methods, and applications
• Shortcuts to adiabaticity
• Fermi gases in one dimension: From Bethe Ansatz to experiments
• Shortcuts to adiabaticity by counter-diabatic driving
• 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
• Multiple Schrödinger pictures and dynamics in shortcuts to adiabaticity
• Fast population transfer engineering of three-level systems
• Quantum Supremacy of Many-Particle Thermal Machines
• Efficient shortcuts to adiabatic passage for the fast populations transfer in multiparticle systems
• Optimal trajectories for efficient atomic transport without final excitation
• 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
• Boosting work characteristics and overall heat engine performance via shortcuts to adiabaticity: quantum and classical systems
• 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
• Method for constructing shortcuts to adiabaticity by a substitute of counterdiabatic driving terms
• Quench dynamics of a Tonks-Girardeau gas released from a harmonic trap
• Hamiltonian engineering via invariants and dynamical algebra
• 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
• 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
• Exact non-equilibrium solutions of the Boltzmann equation under a time-dependent external force
• Shortcuts to adiabatic passage for fast generation of Greenberger-Horne-Zeilinger states by transitionless quantum driving
• Probing Quantum Speed Limits with Ultracold Gases
• Optimized Geometric Quantum Computation with mesoscopic ensemble of Rydberg Atoms
• Nonperturbative Leakage Elimination Operators and Control of a Three-Level System
• Fast quantum state engineering via universal SU(2) transformation
• Shortcuts to adiabatic passage for fast generation of three-atom singlet state by transitionless quantum driving
• 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
• Reverse engineering of a Hamiltonian by designing the evolution operators
• Optimal shortcut approach based on an easily obtained intermediate Hamiltonian
• Controlling quantum critical dynamics of isolated systems
• From Classical Nonlinear Integrable Systems to Quantum Shortcuts to Adiabaticity
• Complete Bell-state analysis for superconducting-quantum-interference-device qubits with transitionless tracking algorithm
• Invariant-based inverse engineering for fluctuation transfer between membranes in an optomechanical cavity system
• Accelerated and noise-resistant generation of a high-fidelity steady-state entanglement with Rydberg atoms
• Shortcuts to adiabatic cat-state generation in bosonic Josephson junctions
• Strongly interacting trapped one-dimensional quantum gases: an exact solution
• Superadiabatic thermalization of a quantum oscillator by engineered dephasing
• Suppression of work fluctuations by optimal control: An approach based on Jarzynski's equality
• Shortcuts to adiabaticity in Fermi gases
• Realistic Shortcuts to Adiabaticity in Optical Transfer
• Effects of coherence on quantum speed limits and shortcuts to adiabaticity in many-particle systems
• Transitionless-based shortcuts for the fast and robust generation of W states
• Shortcut to adiabatic control of soliton matter waves by tunable interaction
• Improving the stimulated Raman adiabatic passage via dissipative quantum dynamics
• Shortcut to adiabaticity in internal bosonic Josephson junctions
• Transient particle energies in shortcuts to adiabatic expansions of harmonic traps
• Classical and quantum shortcuts to adiabaticity in a tilted piston
• Characteristic dynamics near two coalescing eigenvalues incorporating continuum threshold effects
• Time-Optimal Adiabatic-Like Expansion of Bose-Einstein Condensates
• Shortcuts to adiabaticity with general two-level non-Hermitian systems
• Inverse engineering rigorous adiabatic Hamiltonian for non-Hermitian system
• Fast transitionless expansions of Gaussian anharmonic traps for cold atoms: bang-singular-bang control
• Almost exact state transfer in a spin chain via pulse control
• An adiabatic Leakage Elimination Operator in experimental framework
• A time-dependent harmonic oscillator with two frequency jumps: an exact algebraic solution
• Exact Delta Kick Cooling, Time-Optimal Control of Scale-Invariant Dynamics, and Shortcuts to Adiabaticity Assisted by Kicks
• Fast control of interactions in an ultracold two atom system: Managing correlations and irreversibility
• Connection between inverse engineering and optimal control in shortcuts to adiabaticity
• A Quantum Otto Engine with Shortcuts to Thermalization and Adiabaticity
• Friction-free quantum machines
• Efficient algebraic solution for a time-dependent quantum harmonic oscillator
• Modulated trapping of interacting bosons in one dimension
• Shortcuts to Adiabaticity Assisted by Counterdiabatic Born-Oppenheimer Dynamics
• Shortcuts to adiabaticity for an interacting Bose-Einstein condensate via exact solutions of the generalized Ermakov equation
• Improving shortcuts to non-Hermitian adiabaticity for fast population transfer in open quantum systems
• Invariant-based pulse design for three-level systems without the rotating-wave approximation
• Slow interaction ramps in trapped many-particle systems: universal deviations from adiabaticity
• Interaction ramps in a trapped Bose condensate
• Accelerating population transfer in a transmon qutrit via Shortcuts to adiabaticity
• Nonadiabatic energy fluctuations of scale-invariant quantum systems in a time-dependent trap
• Reduction of local velocity spreads by linear potentials
• Fast Frictionless Expansion of an Optical Lattice
• Superadiabatic Control of Quantum Operations
• Dimensional crossover for universal scaling far from equilibrium
• Dynamics of strongly interacting Fermi gases with time-dependent interactions: Consequence of conformal symmetry
• Superadiabatic generation of cat states in bosonic Josephson junctions under particle losses
• Tailoring Dynamical Fermionization: Delta kick cooling of a Tonks-Girardeau gas
• 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
• Irreversible Reactions and Diffusive Escape: Stationary Properties
• Phase space manipulations of many-body wavefunctions
• Optimal protocols for finite-duration quantum quenches in the Luttinger model
• Generalized Bose-Fermi mapping and strong coupling ansatz wavefunction for one dimensional strongly interacting spinor quantum gases
• Counterdiabatic driving for pseudo- and antipseudo- Hermitian systems
• Accelerating adiabatic quantum transfer for three-level $\Lambda$-type structure systems via picture transformation
• Scaling dynamics of the ultracold Bose gas
• Exact Dynamics and Shortcuts to Adiabaticity in the Tomonaga-Luttinger Liquid
• Breathing Oscillations in Bose - Fermi Mixing Gases with Yb atoms in the Largely Prolate Deformed Traps
• Electrodynamics of Vortices in Quasi-2D Scalar Bose-Einstein Condensates
• Minimum-Time Frictionless Atom Cooling in Harmonic Traps
• Time-dependent quantum harmonic oscillator: a continuous route from adiabatic to sudden changes
• Shortcut to spin dynamics for quantum mixtures
• Transitionless Quantum Driving of the Tomonaga-Luttinger Liquid
• Echoes and defects in the Calogero model
• Quantum control and quantum speed limits in supersymmetric potentials
• Optimal Shortcuts to Adiabaticity for a Quantum Piston
• Parent Hamiltonians of Jastrow Wavefunctions
• Time-Optimal Frictionless Atom Cooling in Harmonic Traps