Adiabatic tracking of quantum many-body dynamics

Abstract

The nonadiabatic dynamics of a many-body system driven through a quantum critical point can be controlled using counterdiabatic driving, where the formation of excitations is suppressed by assisting the dynamics with auxiliary multiple-body nonlocal interactions. We propose an alternative scheme which circumvents practical challenges to realize shortcuts to adiabaticity in mesoscopic systems by tailoring the functional form of the auxiliary counterdiabatic interactions. A driving scheme resorting in few-body short-range interactions is shown to generate an effectively adiabatic dynamics.

arXiv commentSlightly improved version as published in Phys. Rev. A Rapid Communication

References in corpus (38)

• Nonequilibrium dynamics of closed interacting quantum systems
• An Open-System Quantum Simulator with Trapped Ions
• Quantum Simulation of Antiferromagnetic Spin Chains in an Optical Lattice
• A Rydberg Quantum Simulator
• Dynamics of a Quantum Phase Transition
• Dynamics of a Quantum Phase Transition and Relaxation to a Steady State
• Dynamics of quantum phase transition: exact solution in quantum Ising model
• Shortcuts to adiabaticity
• Shortcuts to adiabaticity by counter-diabatic driving
• Universal adiabatic dynamics across a quantum critical point
• High-fidelity quantum driving
• Optimal control technique for Many Body Quantum Systems dynamics
• Quasi-adiabatic Continuation of Quantum States: The Stability of Topological Ground State Degeneracy and Emergent Gauge Invariance
• Chopped random-basis quantum optimization
• Universality of Phase Transition Dynamics: Topological Defects from Symmetry Breaking
• Assisted finite-rate adiabatic passage across a quantum critical point: Exact solution for the quantum Ising model
• Classical and quantum shortcuts to adiabaticity for scale-invariant driving
• Multiple Schrödinger pictures and dynamics in shortcuts to adiabaticity
• Defect production in non-linear quench across a quantum critical point
• Experimental implementation of assisted quantum adiabatic passage in a single spin
• Quantum Adiabatic Brachistochrone
• Generating shortcuts to adiabaticity in quantum and classical dynamics
• Emergent thermodynamics in a quenched quantum many-body system
• Adiabatic approximation with exponential accuracy for many-body systems and quantum computation
• Optimal non-linear passage through a quantum critical point
• Simulating open quantum systems: from many-body interactions to stabilizer pumping
• Quantum Simulation of Interacting Fermion Lattice Models in Trapped Ions
• An information theoretical analysis of quantum optimal control
• Entanglement rates and area laws
• Simulating adiabatic evolution of gapped spin systems
• Causality and non-equilibrium second-order phase transitions in inhomogeneous systems
• Experimental Performance of a Quantum Simulator: Optimizing Adiabatic Evolution and Identifying Many-Body Ground States
• Accuracy vs run time in adiabatic quantum search
• Dynamics of an inhomogeneous quantum phase transition
• Suppressing defect production during passage through a quantum critical point
• Adiabatic dynamics of an inhomogeneous quantum phase transition: the case of z > 1 dynamical exponent
• Adiabatic Tracking of a State: a New Route to Nonequilibrium Physics
• Tailoring many-body entanglement through local control

Cited by in corpus (109)

• Shortcuts to adiabaticity: concepts, methods, and applications
• Quantum speed limits: from Heisenberg's uncertainty principle to optimal quantum control
• Minimizing irreversible losses in quantum systems by local counter-diabatic driving
• Trade-off between speed and cost in shortcuts to adiabaticity
• Floquet-engineering counterdiabatic protocols in quantum many-body systems
• Shortcuts to Adiabaticity for the Quantum Rabi Model: Efficient Generation of Giant Entangled cat States via Parametric Amplification
• Universal Work Fluctuations during Shortcuts To Adiabaticity by Counterdiabatic Driving
• Shortcut to Adiabaticity in the Lipkin-Meshkov-Glick Model
• Scaling-up quantum heat engines efficiently via shortcuts to adiabaticity
• Superadiabatic Controlled Evolutions and Universal Quantum Computation
• Shortcuts to Adiabaticity in Digitized Adiabatic Quantum Computing
• Digitized-counterdiabatic quantum approximate optimization algorithm
• Method for constructing shortcuts to adiabaticity by a substitute of counterdiabatic driving terms
• Quantum Dynamics in Krylov Space: Methods and Applications
• Fast preparation of W states with superconducting quantum interference devices by using dressed states
• Focus on Shortcuts to Adiabaticity
• Shortcut to adiabatic gate teleportation
• Counterdiabatic Optimised Local Driving
• Adiabatic Theorem for Quantum Spin Systems
• Towards adiabatic quantum computing using compressed quantum circuits
• Criticality revealed through quench dynamics the Lipkin-Meshkov-Glick model
• Fast and robust quantum state transfer via a topological chain
• Shortcuts to adiabaticity for quantum annealing
• Shortcuts to adiabatic passage for fast generation of Greenberger-Horne-Zeilinger states by transitionless quantum driving
• Counterdiabatic driving in the quantum annealing of the $p$-spin model: a variational approach
• Fast adiabatic evolution by oscillating initial Hamiltonians
• Controlling and exploring quantum systems by algebraic expression of adiabatic gauge potential
• Reinforcement learning approach to non-equilibrium quantum thermodynamics
• Variational principle for optimal quantum controls in quantum metrology
• Fast quantum state engineering via universal SU(2) transformation
• Shortcuts to Adiabaticity in Krylov Space
• Counterdiabatic driving of the quantum Ising model
• Reverse engineering of a Hamiltonian by designing the evolution operators
• Fast state transfer in a Λ-system: a shortcut-to-adiabaticity approach to robust and resource optimized control
• Universal dynamics of inhomogeneous quantum phase transitions: suppressing defect formation
• Superadiabatic quantum heat engine with a multiferroic working medium
• Controlling quantum critical dynamics of isolated systems
• Generalized Shortcuts to Adiabaticity and Enhanced Robustness Against Decoherence
• Complete Bell-state analysis for superconducting-quantum-interference-device qubits with transitionless tracking algorithm
• From Classical Nonlinear Integrable Systems to Quantum Shortcuts to Adiabaticity
• Experimental Implementation of Generalized Transitionless Quantum Driving
• Quantum state transfer in spin chains via shortcuts to adiabaticity
• 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
• Quantum Control via Enhanced Shortcuts to Adiabaticity
• Energetic cost of superadiabatic quantum computation
• Shortcuts to adiabaticity in Fermi gases
• Time-rescaled quantum dynamics as a shortcut to adiabaticity
• Digitized Adiabatic Quantum Factorization
• Transitionless-based shortcuts for the fast and robust generation of W states
• Inhomogeneous quasi-adiabatic driving of quantum critical dynamics in weakly disordered spin chains
• Adiabatic theorem revisited: the unexpectedly good performance of adiabatic passage
• Non equilibrium phase transitions and Floquet Kibble-Zurek scaling
• Optimal steering of matrix product states and quantum many-body scars
• Steering random spin systems to speed up the quantum adiabatic algorithm
• Optimal suppression of defect generation during a passage across a quantum critical point
• Shortcuts to adiabaticity: theoretical framework, relations between different methods, and versatile approximations
• Counterdiabatic control in the impulse regime
• Deterministic SWAP gate using shortcuts to adiabatic passage
• Many-body enhancement in a spin-chain quantum heat engine
• Shortcuts to adiabaticity in the infinite-range Ising model by mean-field counter-diabatic driving
• Variational counterdiabatic driving of the Hubbard model for ground-state preparation
• Shortcuts to adiabaticity with general two-level non-Hermitian systems
• Adiabatic landscape and optimal paths in ergodic systems
• Fast and robust magnon transport in a spin chain
• Counterdiabatic Driving for Periodically Driven Systems
• Counterdiabatic driving in spin squeezing and Dicke state preparation
• Fast-forward approach to adiabatic quantum dynamics of regular spin clusters: nature of geometry-dependent driving interactions
• Taming quantum systems: A tutorial for using shortcuts-to-adiabaticity, quantum optimal control, and reinforcement learning
• Counterdiabatic control of transport in a synthetic tight-binding lattice
• Shortcuts to Adiabaticity Assisted by Counterdiabatic Born-Oppenheimer Dynamics
• Counterdiabatic optimized driving in quantum phase sensitive models
• Optimal Control in Disordered Quantum Systems
• Improving shortcuts to non-Hermitian adiabaticity for fast population transfer in open quantum systems
• Geometric Floquet theory
• High-fidelity non-adiabatic cutting and stitching of a spin chain via local control
• Exact thermal properties of free-fermionic spin chains
• Ultrafast critical ground state preparation via bang-bang protocols
• Cluster state generation in one-dimensional Kitaev honeycomb model via shortcut to adiabaticity
• Shortcut Scheme for One-Step Implementation of a Three-Qubit Nonadiabatic Holonomic Gate
• Dynamical Ginzburg criterion for the quantum-classical crossover of the Kibble-Zurek mechanism
• Superadiabatic Control of Quantum Operations
• Counterdiabatic Formalism of Shortcuts to Adiabaticity
• Non-Adiabatic Quantum Optimization for Crossing Quantum Phase Transitions
• Variational adiabatic transport of tensor networks
• Enhancing the efficiency of quantum annealing via reinforcement: A path-integral Monte Carlo simulation of the quantum reinforcement algorithm
• Optimal parent Hamiltonians for time-dependent states
• Driving a Quantum Phase Transition at Arbitrary Rate: Exact solution of the Transverse-Field Ising model
• Failure of the geometric approach prediction of excess work scaling for open and isolated quantum systems
• The Loschmidt Index
• Minimal action control method in quantum critical models
• Improved anharmonic trap expansion through enhanced shortcuts to adiabaticity
• Quantum annealing sampling with a bias field
• Tangent space generators of matrix product states and exact Floquet quantum scars
• Speeding up Quantum Annealing with Engineered Dephasing
• Adiabatic light propagation in nonlinear waveguide couplers with longitudinally varying detunings via resonance-locked inverse engineering
• Accelerating adiabatic quantum transfer for three-level $\Lambda$-type structure systems via picture transformation
• Counterdiabatic driving for long-lived singlet state preparation
• Quantum walk in a reinforced free-energy landscape: Quantum annealing with reinforcement
• Shortcuts to adiabaticity in open quantum critical systems
• Fighting Exponentially Small Gaps by Counterdiabatic Driving
• Optimized adiabatic-impulse protocol preserving Kibble-Zurek scaling with attenuated anti-Kibble-Zurek behavior
• A map between time-dependent and time-independent quantum many-body Hamiltonians
• Digitized counterdiabatic quantum critical dynamics
• Quantum heat engines with multiferroic working substance
• Analytical shortcuts to adiabaticity of weakly driven processes
• Preparation of Many-body Ground States by Time Evolution with Variational Microscopic Magnetic Fields and Incomplete Interactions
• Quantum coherence and counterdiabatic quantum computing
• Quantum adiabaticity in many-body systems and almost-orthogonality in complementary subspace