Classical and quantum shortcuts to adiabaticity for scale-invariant driving

Abstract

A shortcut to adiabaticity is a driving protocol that reproduces in a short time the same final state that would result from an adiabatic, infinitely slow process. A powerful technique to engineer such shortcuts relies on the use of auxiliary counterdiabatic fields. Determining the explicit form of the required fields has generally proven to be complicated. We present explicit counterdiabatic driving protocols for scale-invariant dynamical processes, which describe for instance expansion and transport. To this end, we use the formalism of generating functions, and unify previous approaches independently developed in classical and quantum studies. The resulting framework is applied to the design of shortcuts to adiabaticity for a large class of classical and quantum, single-particle, non-linear, and many-body systems.

17 pages, 5 figures

References in corpus (7)

• Spontaneous vortices in the formation of Bose-Einstein condensates
• Experimental demonstration of painting arbitrary and dynamic potentials for Bose-Einstein condensates
• Lewis-Riesenfeld invariants and transitionless tracking algorithm
• Assisted finite-rate adiabatic passage across a quantum critical point: Exact solution for the quantum Ising model
• Fast atomic transport without vibrational heating
• Shortcut to adiabaticity for an interacting Bose-Einstein condensate
• Fast optimal transition between two equilibrium states

Cited by in corpus (202)

• Shortcuts to adiabaticity: concepts, methods, and applications
• Quantum speed limits: from Heisenberg's uncertainty principle to optimal quantum control
• Perspectives of quantum annealing: Methods and implementations
• Reinforcement Learning in Different Phases of Quantum Control
• Minimizing irreversible losses in quantum systems by local counter-diabatic driving
• Accelerated quantum control using superadiabatic dynamics in a solid-state lambda system
• Trade-off between speed and cost in shortcuts to adiabaticity
• Quantum thermodynamic devices: from theoretical proposals to experimental reality
• Floquet-engineering counterdiabatic protocols in quantum many-body systems
• Colloquium: Quantum heat transport in condensed matter systems
• Shortcuts to adiabaticity by counterdiabatic driving for trapped-ion displacement in phase space
• Quantum Supremacy of Many-Particle Thermal Machines
• Universal Work Fluctuations during Shortcuts To Adiabaticity by Counterdiabatic Driving
• Engineered swift equilibration of a Brownian particle
• Adiabatic tracking of quantum many-body dynamics
• The role of coherence in the non-equilibrium thermodynamics of quantum systems
• Superadiabatic quantum friction suppression in finite-time thermodynamics
• Cost of counterdiabatic driving and work output
• Spin quantum heat engines with shortcuts to adiabaticity
• Performance of shortcut-to-adiabaticity quantum engines
• Geometric Speed Limit of Accessible Many-Body State Preparation
• Path-integral formalism for stochastic resetting: Exactly solved examples and shortcuts to confinement
• Fast preparation of W states with superconducting quantum interference devices by using dressed states
• Stochastic heat engine with the consideration of inertial effects and shortcuts to adiabaticity
• Shortcuts to isothermality and nonequilibrium work relations
• Optimal control of a qubit in an optical cavity
• 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
• Efficiency fluctuations of a quantum Otto engine
• Driving rapidly while remaining in control: classical shortcuts from Hamiltonian to stochastic dynamics
• An efficient non-linear Feshbach engine
• Exact non-equilibrium solutions of the Boltzmann equation under a time-dependent external force
• Shortcuts to adiabaticity from linear response theory
• Many-body quantum heat engines with shortcuts to adiabaticity
• Many-body quantum thermal machines
• Fast adiabatic evolution by oscillating initial Hamiltonians
• Controlling and exploring quantum systems by algebraic expression of adiabatic gauge potential
• Energetic cost of quantum control protocols
• Fast forward to the classical adiabatic invariant
• Transport in a harmonic trap: shortcuts to adiabaticity and robust protocols
• Fast manipulation of Bose-Einstein condensates with an atom chip
• Swift heat transfer by fast-forward driving in open quantum systems
• Fast quantum state engineering via universal SU(2) transformation
• Shortcut-to-adiabaticity quantum Otto refrigerator
• Nested Quantum Annealing Correction
• Noise Resistant Quantum Control Using Dynamical Invariants
• Shortcuts to adiabatic passage for fast generation of three-atom singlet state by transitionless quantum driving
• Counterdiabatic driving of the quantum Ising model
• Shortcuts to adiabaticity in the strongly-coupled regime: nonadiabatic control of a unitary Fermi gas
• Shortcuts to Adiabaticity in Krylov Space
• Quantum statistics and the performance of engine cycles
• Occurrence of discontinuities in the performance of finite-time quantum Otto cycles
• Optimal thermodynamic control in open quantum systems
• A many-body heat engine at criticality
• Bang-bang shortcut to adiabaticity in the Dicke model as realized in a Penning trap experiment
• Shortcuts to adiabaticity: Suppression of pair production in driven Dirac dynamics
• Thermal bath Engineering for Swift Equilibration
• Complete Bell-state analysis for superconducting-quantum-interference-device qubits with transitionless tracking algorithm
• Fast transport of mixed-species ion chains within a Paul trap
• Power fluctuations in a finite-time quantum Carnot engine
• Quantum state transfer in spin chains via shortcuts to adiabaticity
• Performance Evaluation of Adiabatic Quantum Computation via Quantum Speed Limits and Possible Applications to Many-Body Systems
• Efficient Generation of the Triplet Bell State Between Coupled Spins Using Transitionless Quantum Driving and Optimal Control
• Engineered Swift Equilibration for Brownian objects: from underdamped to overdamped dynamics
• Kibble-Zurek scaling in quantum speed limits for shortcuts to adiabaticity
• Fast and optimal transport of atoms with non-harmonic traps
• Degenerate optimal paths in thermally isolated systems
• Supremacy of incoherent sudden cycles
• Bounds on fluctuations for finite-time quantum Otto cycle
• Work and Efficiency of Quantum Otto Cycles in Power Law Trapping Potentials
• The Quest for Solvable Multistate Landau-Zener Models
• Quantum Control via Enhanced Shortcuts to Adiabaticity
• Superadiabatic thermalization of a quantum oscillator by engineered dephasing
• High-Fidelity Entangled Bell States via Shortcuts to Adiabaticity
• Suppression of work fluctuations by optimal control: An approach based on Jarzynski's equality
• Exact results for models of multichannel quantum nonadiabatic transitions
• Shortcuts to adiabaticity in Fermi gases
• Digitized Adiabatic Quantum Factorization
• Optimal shortcuts for atomic transport in anharmonic traps
• Guaranteed energy-efficient bit reset in finite time
• Effects of coherence on quantum speed limits and shortcuts to adiabaticity in many-particle systems
• Eigenstate Tracking in Open Quantum Systems
• Time-rescaled quantum dynamics as a shortcut to adiabaticity
• Time scaling and quantum speed limit in non-Hermitian Hamiltonians
• Abstract models for heat engines
• Breaking the quantum adiabatic speed limit by jumping along geodesics
• Optimal steering of matrix product states and quantum many-body scars
• Maximizing entanglement in bosonic Josephson junctions using shortcuts to adiabaticity and optimal control
• Performance of superadiabatic stimulated Raman adiabatic passage in the presence of dissipation and Ornstein-Uhlenbeck dephasing
• Shortcuts to Dynamic Polarization
• Hamiltonian engineering for adiabatic quantum computation: Lessons from shortcuts to adiabaticity
• Broken symmetry in a two-qubit quantum control landscape
• Invariant-based inverse engineering of crane control parameters
• Fast and stable manipulation of a charged particle in a Penning trap
• Two-Stroke Optimization Scheme for Mesoscopic Refrigerators
• Shortcuts to adiabaticity: theoretical framework, relations between different methods, and versatile approximations
• Shortcuts to Adiabatic Classical Spin Dynamics Mimicking Quantum Annealing
• Many-body enhancement in a spin-chain quantum heat engine
• Reverse engineering protocols for controlling spin dynamics
• Resonant shortcuts for adiabatic rapid passage with only $z$-field control
• Comparison between optimal control and shortcut to adiabaticity protocols in a linear control system
• Classical and quantum shortcuts to adiabaticity in a tilted piston
• A Feshbach engine in the Thomas-Fermi regime
• Programmable Superpositions of Ising Configurations
• Construction and Optimization of the Quantum Analog of Carnot Cycles
• Quantum Thermodynamics and Quantum Coherence Engines
• Fast forward of adiabatic control of tunneling states
• Shortcuts to adiabaticity with general two-level non-Hermitian systems
• Shortcuts in stochastic systems and control of biophysical processes
• Smooth bang-bang shortcuts to adiabaticity for atomic transport in a moving harmonic trap
• The Energy Cost of Controlling Mesoscopic Quantum Systems
• General bound on the performance of counter-diabatic driving acting on dissipative spin systems
• Counter-diabatic driving for fast spin control in a two-electron double quantum dot
• Taming the time evolution in overdamped systems: shortcuts elaborated from fast-forward and time-reversed protocols
• Thermodynamic Cost for Classical Counterdiabatic Driving
• Spin-selective electron transfer in quantum dot array
• Speeding up adiabatic passage with an optimal modified Roland-Cerf protocol
• Action-Noise-Assisted Quantum Control
• Robust control of an ensemble of springs: Application to Ion Cyclotron Resonance and two-level Quantum Systems
• Shortcuts to Squeezed Thermal States
• Fast universal two-qubit gate for neutral fermionic atoms in optical tweezers
• Exact Delta Kick Cooling, Time-Optimal Control of Scale-Invariant Dynamics, and Shortcuts to Adiabaticity Assisted by Kicks
• Shortcuts to adiabaticity applied to nonequilibrium entropy production: An information geometry viewpoint
• Connection between inverse engineering and optimal control in shortcuts to adiabaticity
• Unitary deformations of counterdiabatic driving
• Suppression of multiphoton resonances in driven quantum systems via pulse shape optimization
• Superadiabatic driving of a three-level quantum system
• Fast control of interactions in an ultracold two atom system: Managing correlations and irreversibility
• Quantum work distribution for a driven diatomic molecule
• Efficiency large deviation function of quantum heat engines
• A Quantum Otto Engine with Shortcuts to Thermalization and Adiabaticity
• Quantum-Classical Correspondence of Shortcuts to Adiabaticity
• Can math beat gamers in Quantum Moves?
• Friction-free quantum machines
• Engineered swift equilibration for arbitrary geometries
• 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
• Counterdiabatic control of transport in a synthetic tight-binding lattice
• Interferometer for force measurement by shortcut-to-adiabatic arms guiding
• Exact dynamics of a one dimensional Bose gas in a periodic time-dependent harmonic trap
• Analytic Solutions to Coherent Control of the Dirac Equation
• Counterdiabatic route for preparation of state with long-range topological order
• Heat current control in trapped BEC
• Finite-time two-spin quantum Otto engines: shortcuts to adiabaticity vs. irreversibility
• Microscopic low-dissipation heat engine via shortcuts to adiabaticity and shortcuts to isothermality
• Counterdiabatic Formalism of Shortcuts to Adiabaticity
• Quantum gas in the fast forward scheme of adiabatically expanding cavities: Force and equation of states
• Transition probability generating function of a transitionless quantum parametric oscillator
• Generalized speed and cost rate in transitionless quantum driving
• Counter-diabatic driving in the classical $\beta$-Fermi-Pasta-Ulam-Tsingou chain
• Quantum adiabatic protocols using emergent local Hamiltonians
• Nonequilibrium quantum thermodynamics of determinantal many-body systems: Application to the Tonks-Girardeau and ideal Fermi gases
• Cavity-assisted Dynamical Quantum Phase Transition at Bifurcation Points
• Shortcut to stationary regimes: a simple experimental demonstration
• Exact transition probabilities for a linear sweep through a Kramers-Kronig resonance
• Accelerated creation of NOON states with ultracold atoms via counterdiabatic driving
• Stable and Efficient Charging of Superconducting Capacitively Shunted Flux Quantum Batteries
• Failure of the geometric approach prediction of excess work scaling for open and isolated quantum systems
• Counterdiabatic Route to Entanglement Steering and Dynamical Freezing in the Floquet Lipkin-Meshkov-Glick Model
• Shortcuts to thermodynamic quasistaticity
• Tailoring Dynamical Fermionization: Delta kick cooling of a Tonks-Girardeau gas
• Shortcuts to adiabatic population inversion via time-rescaling: stability and thermodynamic cost
• Time-optimal variational control of bright matter-wave soliton
• High fidelity control of a many-body Tonks--Girardeau gas with an effective mean-field approach
• Quantum optimal control in quantum technologies. Strategic report on current status, visions and goals for research in Europe
• Minimum time connection between non-equilibrium steady states: the Brownian gyrator
• Tangent space generators of matrix product states and exact Floquet quantum scars
• Time optimal quantum state transfer in a fully-connected quantum computer
• Temporal factorization of a non-stationary electromagnetic cavity field
• Exponential Change of Relaxation Rate by Quenched Disorder
• Counterdiabatic driving for pseudo- and antipseudo- Hermitian systems
• Geodesic path for the optimal nonequilibrium transition: Momentum-independent protocol
• Engineering Ratchet-Based Particle Separation via Shortcuts to Isothermality
• Nearly-optimal quantum control: analytical approach
• Thermodynamics of Statistical Anyons
• Exact Dynamics and Shortcuts to Adiabaticity in the Tomonaga-Luttinger Liquid
• Optimal control with a multidimensional quantum invariant
• Scaling dynamics of the ultracold Bose gas
• Nano-welding of quantum spin-$1/2$ chains at minimal dissipation
• The invariant based investigation of Shortcut to Adiabaticity for Quantum Harmonic Oscillators under time varying frictional force
• Quantum Shortcut to Adiabaticity for State Preparation in a Finite-Sized Jaynes-Cummings Lattice
• Machine-learning-inspired quantum control in many-body dynamics
• Exploring the topology of a non-Hermitian superconducting qubit using shortcuts to adiabaticity
• A Finite-Time Quantum Otto Engine subject to Control Noise and Enhancement Techniques
• Quantum thermodynamics of Gross-Pitaevskii qubits
• Fast transport of Bose-Einstein condensates in anharmonic traps
• Shortcuts to adiabaticity in open quantum critical systems
• Drag in Bose-Fermi Mixtures
• Improving Variational Counterdiabatic Driving with Weighted Actions and Computer Algebra
• Transitionless Quantum Driving of the Tomonaga-Luttinger Liquid
• Quantum control and quantum speed limits in supersymmetric potentials
• Analytical shortcuts to adiabaticity of weakly driven processes
• Irreversible Work Reduction by Disorder in Many-Body Quantum Systems
• A map between time-dependent and time-independent quantum many-body Hamiltonians
• The quantum Ising model: finite sums and hyperbolic functions
• Environment-Assisted Shortcuts to Adiabaticity
• Application of the Small Tip-Angle approximation in the Toggling Frame for the design of analytic robust pulses in Quantum Control
• Lie transformation on shortcut to adiabaticity in parametric driving quantum system
• Quantum Otto Thermal Machines Powered by Kerr Nonlinearity
• Multimode NOON-state generation with ultracold atoms via geodesic counterdiabatic driving
• Nonequilibrium many-body dynamics in supersymmetric quenching