Universal Work Fluctuations during Shortcuts To Adiabaticity by Counterdiabatic Driving

Abstract

Counterdiabatic driving (CD) exploits auxiliary control fields to tailor the nonequilibrium dynamics of a quantum system, making possible the suppression of dissipated work in finite-time thermodynamics and the engineering of optimal thermal machines with no friction. We show that while the mean work done by the auxiliary controls vanishes, CD leads to a broadening of the work distribution. We derive a fundamental inequality that relates nonequilibrium work fluctuations to the operation time and quantifies the thermodynamic cost of CD in both critical and noncritical systems.

arXiv comment5+3 pages, 3 figures

References in corpus (30)

• A nonequilibrium equality for free energy differences
• Stochastic thermodynamics, fluctuation theorems, and molecular machines
• The Entropy Production Fluctuation Theorem and the Nonequilibrium Work Relation for Free Energy Differences
• Colloquium. Quantum Fluctuation Relations: Foundations and Applications
• Shortcuts to adiabaticity
• Fidelity approach to quantum phase transitions
• Shortcuts to adiabaticity by counter-diabatic driving
• High-fidelity quantum driving
• Optimal finite-time processes in stochastic thermodynamics
• Experimental Test of Quantum Jarzynski Equality with a Trapped Ion System
• Assisted finite-rate adiabatic passage across a quantum critical point: Exact solution for the quantum Ising model
• More bang for your buck: Towards super-adiabatic quantum engines
• Classical and quantum shortcuts to adiabaticity for scale-invariant driving
• Trade-off between speed and cost in shortcuts to adiabaticity
• Experimental realization of stimulated Raman shortcut-to-adiabatic passage with cold atoms
• Experimental implementation of assisted quantum adiabatic passage in a single spin
• Shortcuts to adiabaticity by counterdiabatic driving for trapped-ion displacement in phase space
• Adiabatic tracking of quantum many-body dynamics
• Shortcut to Adiabaticity in the Lipkin-Meshkov-Glick Model
• Scaling-up quantum heat engines efficiently via shortcuts to adiabaticity
• Boosting work characteristics and overall heat engine performance via shortcuts to adiabaticity: quantum and classical systems
• Superadiabatic Controlled Evolutions and Universal Quantum Computation
• Transitionless quantum drivings for the harmonic oscillator
• Transitionless quantum driving for spin systems
• Cost of counterdiabatic driving and work output
• Minimal work principle: proof and counterexamples
• Exact results for fidelity susceptibility of the quantum Ising model: The interplay between parity, system size, and magnetic field
• Counterdiabatic driving of the quantum Ising model
• Suppression of work fluctuations by optimal control: An approach based on Jarzynski's equality
• Principle of Minimal Work Fluctuations

Cited by in corpus (123)

• Shortcuts to adiabaticity: concepts, methods, and applications
• Quantum speed limits: from Heisenberg's uncertainty principle to optimal quantum control
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• Speed Limit for Classical Stochastic Processes
• Trade-off between speed and cost in shortcuts to adiabaticity
• Floquet-engineering counterdiabatic protocols in quantum many-body systems
• Coherence effects in the performance of the quantum Otto heat engine
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• Fluctuations in extractable work bound the charging power of quantum batteries
• Speed limit for open quantum systems
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• Analog of a quantum heat engine using a single-spin qubit
• Quantum Dynamics in Krylov Space: Methods and Applications
• Orthogonality Catastrophe as a Consequence of the Quantum Speed Limit
• Spin quantum heat engines with shortcuts to adiabaticity
• Performance of superadiabatic quantum machines
• Performance of shortcut-to-adiabaticity quantum engines
• Unifying Quantum and Classical Speed Limits on Observables
• Geometric Speed Limit of Accessible Many-Body State Preparation
• Tight, robust, and feasible quantum speed limits for open dynamics
• Random Quantum Batteries
• Focus on Shortcuts to Adiabaticity
• Shortcuts to Adiabaticity in Driven Open Quantum Systems: Balanced Gain and Loss and Non-Markovian Evolution
• Quantum speed limits and the maximal rate of information production
• An Interaction-Driven Many-Particle Quantum Heat Engine: Universal Behavior
• Shortcut-to-adiabaticity Otto engine: A twist to finite-time thermodynamics
• Shortcuts to adiabaticity using flow fields
• Energy consumption for Shortcuts To Adiabaticity
• Demonstration of quantum brachistochrones between distant states of an atom
• An efficient non-linear Feshbach engine
• Universal finite-time thermodynamics of many-body quantum machines from Kibble-Zurek scaling
• Probing Quantum Speed Limits with Ultracold Gases
• Energetic cost of quantum control protocols
• Work Statistics, Loschmidt Echo and Information Scrambling in Chaotic Quantum Systems
• Controlling and exploring quantum systems by algebraic expression of adiabatic gauge potential
• Energy storage and coherence in closed and open quantum batteries
• Speed Limits for Macroscopic Transitions
• Fast quantum state engineering via universal SU(2) transformation
• Bounds in Nonequilibrium Quantum Dynamics
• Uncertainty relations in implementation of unitary operations
• Speed-ups to isothermality: Enhanced quantum thermal machines through control of the system-bath coupling
• Shortcuts to Adiabaticity in Krylov Space
• Quantum speed limits on operator flows and correlation functions
• Optimal control of quantum thermal machines using machine learning
• Operational definition of a quantum speed limit
• Nonadiabatic Control of Geometric Pumping
• Shortcuts to Adiabatic Pumping in Classical Stochastic Systems
• Speeding-up a quantum refrigerator via counter-diabatic driving
• Topological Speed Limit
• Quantum Speed Limits under Continuous Quantum Measurements
• Experimental demonstration of work fluctuations along a shortcut to adiabaticity with a superconducting Xmon qubit
• Performance Evaluation of Adiabatic Quantum Computation via Quantum Speed Limits and Possible Applications to Many-Body Systems
• Accelerated and noise-resistant generation of a high-fidelity steady-state entanglement with Rydberg atoms
• Kibble-Zurek scaling in quantum speed limits for shortcuts to adiabaticity
• Genetic optimization of quantum annealing
• Geometric Operator Quantum Speed Limit, Wegner Hamiltonian Flow and Operator Growth
• Shortcuts to adiabaticity in Fermi gases
• Effects of coherence on quantum speed limits and shortcuts to adiabaticity in many-particle systems
• Optimal performance of generalized heat engines with finite-size baths of arbitrary multiple conserved quantities beyond i.i.d. scaling
• Not quite free shortcuts to adiabaticity
• Hamiltonian engineering for adiabatic quantum computation: Lessons from shortcuts to adiabaticity
• Shortcuts to adiabaticity: theoretical framework, relations between different methods, and versatile approximations
• Counterdiabatic control in the impulse regime
• Shortcuts to adiabaticity with general two-level non-Hermitian systems
• Energy consumption for ion transport in a segmented Paul trap
• Thermodynamic Cost for Classical Counterdiabatic Driving
• Generalized transitionless quantum driving for open quantum systems
• Vanishing efficiency of speeded-up quantum Otto engines
• Quantum speed limit for complex dynamics
• Suppression of the Landau-Zener transition probability by a weak classical noise
• Multi-spin counter-diabatic driving in many-body quantum Otto refrigerators
• Shortcuts to Squeezed Thermal States
• Optimizing NMR quantum information processing via generalized transitionless quantum driving
• Shortcuts to adiabaticity applied to nonequilibrium entropy production: An information geometry viewpoint
• Quantum features and signatures of quantum-thermal machines
• Friction-free quantum machines
• Engineered swift equilibration for arbitrary geometries
• Taming quantum systems: A tutorial for using shortcuts-to-adiabaticity, quantum optimal control, and reinforcement learning
• Bhatia-Davis formula in the quantum speed limit
• Speed limit for open systems coupled to general environments
• Improving shortcuts to non-Hermitian adiabaticity for fast population transfer in open quantum systems
• Integrability as an attractor of adiabatic flows
• Universal shift of the fidelity susceptibility peak away from the critical point of the Berezinskii-Kosterlitz-Thouless quantum phase transition
• Quantum Work Fluctuations in connection with Jarzynski Equality
• Finite-time two-spin quantum Otto engines: shortcuts to adiabaticity vs. irreversibility
• Non-uniform magnetic field as a booster for quantum speed limit: faster quantum information processing
• Single-Atom Verification of the Optimal Trade-Off between Speed and Cost in Shortcuts to Adiabaticity
• Counterdiabatic Formalism of Shortcuts to Adiabaticity
• Quantum speed limits in arbitrary phase spaces
• Generalized speed and cost rate in transitionless quantum driving
• Fluctuation Relations For Adiabatic Pumping
• Quantum Velocity Limits for Multiple Observables: Conservation Laws, Correlations, and Macroscopic Systems
• Robustness of controlled Hamiltonian approaches to unitary quantum gates
• Sharp detection of the onset of Floquet heating using eigenstate sensitivity
• Geometry and speed of evolution for a spin-s system with long-range zz-type Ising interaction
• Analyticity constraints bound the decay of the spectral form factor
• Shortcuts to adiabatic population inversion via time-rescaling: stability and thermodynamic cost
• Fast Functionalization with High Performance in the Autonomous Information Engine
• Shortcuts to thermodynamic quasistaticity
• Fermionic correlations as metric distances: a useful tool for materials science
• Quantum optimal control in quantum technologies. Strategic report on current status, visions and goals for research in Europe
• Time-Optimal Quantum Driving by Variational Circuit Learning
• Bounds for nonadiabatic transitions
• Performance evaluation of invariant-based inverse engineering by quantum speed limit
• Quantum acceleration by an ancillary system in non-Markovian environments
• Quantum work statistics of controlled evolutions
• Family of attainable geometric quantum speed limits
• Critical slowing down of multi-atom entanglement by Rydberg blockade
• A Finite-Time Quantum Otto Engine subject to Control Noise and Enhancement Techniques
• Fighting Exponentially Small Gaps by Counterdiabatic Driving
• Adiabatic Gauge Potential as a Tool for Detecting Chaos in Classical Systems
• Coherent Quantum Speed Limits
• Transitionless Quantum Driving of the Tomonaga-Luttinger Liquid
• Improving Variational Counterdiabatic Driving with Weighted Actions and Computer Algebra
• Squeezing generation crossing a mean-field critical point: Work statistics, irreversibility and critical fingerprints
• Energy-saving fast-forward scaling
• Tracking Adiabaticity in Non-Equilibrium Many-Body Systems: The Hard Case of the X-ray Photoemission in Metals
• Classical dissipative cost of quantum control
• Quantum coherence and counterdiabatic quantum computing
• Thermodynamic speed limit for non-adiabatic work and its classical-quantum decomposition
• Quantum Transition Rates in Arbitrary Physical Processes