Counterdiabatic Formalism of Shortcuts to Adiabaticity
arXiv:2208.07346 · doi:10.1098/rsta.2021.0272
Abstract
Pedagogical introduction to counterdiabatic formalism of shortcuts to adiabaticity is given so that the readers are accessible to some of more specialized articles in the rest of this theme issue without a much barrier. A guide to references is given so that this article also serves as a mini-review.
arXiv comment21 pages, 5 figures, article submitted to the special issue "Shortcuts to Adiabaticity: Theoretical, Experimental and Interdisciplinary Perspectives" of the Philosophical Transactions A
References in corpus (61)
- Shortcuts to adiabaticity: concepts, methods, and applications
- Fast optimal frictionless atom cooling in harmonic traps
- Shortcuts to adiabaticity
- Quantum speed limits: from Heisenberg's uncertainty principle to optimal quantum control
- Shortcuts to adiabaticity by counter-diabatic driving
- Topological vortex formation in a Bose-Einstein condensate
- Lewis-Riesenfeld invariants and transitionless tracking algorithm
- The quantum harmonic Otto cycle
- Geometry and non-adiabatic response in quantum and classical systems
- 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
- Minimizing irreversible losses in quantum systems by local counter-diabatic driving
- Multiple Schrödinger pictures and dynamics in shortcuts to adiabaticity
- Trade-off between speed and cost in shortcuts to adiabaticity
- Experimental realization of stimulated Raman shortcut-to-adiabatic passage with cold atoms
- Floquet-engineering counterdiabatic protocols in quantum many-body systems
- Adiabatic approximation in open quantum systems
- Shortcuts to adiabaticity by counterdiabatic driving for trapped-ion displacement in phase space
- Creation of persistent current and vortex in a Bose-Einstein condensate of alkali-metal atoms
- Superadiabatic population transfer in a three-level superconducting circuit
- Universal Work Fluctuations during Shortcuts To Adiabaticity by Counterdiabatic Driving
- Generating shortcuts to adiabaticity in quantum and classical dynamics
- Adiabatic tracking of quantum many-body dynamics
- Scaling-up quantum heat engines efficiently via shortcuts to adiabaticity
- Speed limit for open quantum systems
- Superadiabatic Controlled Evolutions and Universal Quantum Computation
- Shortcuts to Adiabaticity in Digitized Adiabatic Quantum Computing
- Shortcuts to adiabaticity for non-Hermitian systems
- Transitionless quantum drivings for the harmonic oscillator
- Transitionless quantum driving for spin systems
- Digitized-counterdiabatic quantum approximate optimization algorithm
- Shortcut to adiabatic population transfer in quantum three-level systems: effective two-level problems and feasible counter-diabatic driving
- Superadiabatic quantum friction suppression in finite-time thermodynamics
- Cost of counterdiabatic driving and work output
- Focus on Shortcuts to Adiabaticity
- Reinforcement Learning for Many-Body Ground-State Preparation Inspired by Counterdiabatic Driving
- Superadiabatic dynamics in open quantum systems
- Shortcuts to Adiabaticity in Driven Open Quantum Systems: Balanced Gain and Loss and Non-Markovian Evolution
- Shortcuts to adiabaticity for quantum annealing
- A simple method to create a vortex in Bose-Einstein condensate of alkali atoms
- Many-body quantum heat engines with shortcuts to adiabaticity
- Probing Quantum Speed Limits with Ultracold Gases
- Many-body quantum thermal machines
- Entropy-Based Formulation of Thermodynamics in Arbitrary Quantum Evolution
- Digitized-Counterdiabatic Quantum Optimization
- Speeding-up a quantum refrigerator via counter-diabatic driving
- Controlling quantum critical dynamics of isolated systems
- Experimental demonstration of work fluctuations along a shortcut to adiabaticity with a superconducting Xmon qubit
- From Classical Nonlinear Integrable Systems to Quantum Shortcuts to Adiabaticity
- Shortcuts to Adiabaticity for Open Systems in Circuit Quantum Electrodynamics
- Shortcuts to adiabaticity in Fermi gases
- How fast and robust is the quantum adiabatic passage?
- General bound on the performance of counter-diabatic driving acting on dissipative spin systems
- Unitary deformations of counterdiabatic driving
- Quantum-Classical Correspondence of Shortcuts to Adiabaticity
- Friction-free quantum machines
- Shortcuts to Adiabaticity Assisted by Counterdiabatic Born-Oppenheimer Dynamics
- Fast control of topological vortex formation in BEC by counter-diabatic driving
- Counter-diabatic vortex pump in spinor Bose-Einstein condensates
- Quantum knots in Bose-Einstein condensates created by counterdiabatic control
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- Shortcuts to Adiabaticity in Krylov Space
- Shortcuts to adiabaticity: theoretical framework, relations between different methods, and versatile approximations
- Optimal Zeno Dragging for Quantum Control: A Shortcut to Zeno with Action-based Scheduling Optimization
- Counterdiabatic Route to Entanglement Steering and Dynamical Freezing in the Floquet Lipkin-Meshkov-Glick Model
- Dynamical invariant formalism of shortcuts to adiabaticity