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.

Slightly improved version as published in Phys. Rev. A Rapid Communication

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Cited by in corpus (24)

• Universal Work Fluctuations during Shortcuts To Adiabaticity by Counterdiabatic Driving
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• Focus on Shortcuts to Adiabaticity
• Fast preparation of W states with superconducting quantum interference devices by using dressed states
• Criticality revealed through quench dynamics the Lipkin-Meshkov-Glick model
• Shortcuts to adiabaticity for quantum annealing
• Fast quantum state engineering via universal SU(2) transformation
• Counterdiabatic driving of the quantum Ising model
• Reverse engineering of a Hamiltonian by designing the evolution operators
• Superadiabatic quantum heat engine with a multiferroic working medium
• Controlling quantum critical dynamics of isolated systems
• Complete Bell-state analysis for superconducting-quantum-interference-device qubits with transitionless tracking algorithm
• Shortcuts to adiabatic cat-state generation in bosonic Josephson junctions
• Optimal suppression of defect generation during a passage across a quantum critical point
• Shortcuts to adiabaticity in the infinite-range Ising model by mean-field counter-diabatic driving
• Shortcuts to adiabaticity with general two-level non-Hermitian systems
• Fast and robust magnon transport in a spin chain
• Fast-forward approach to adiabatic quantum dynamics of regular spin clusters: nature of geometry-dependent driving interactions
• Improving shortcuts to non-Hermitian adiabaticity for fast population transfer in open quantum systems
• Shortcut Scheme for One-Step Implementation of a Three-Qubit Nonadiabatic Holonomic Gate
• Counterdiabatic Formalism of Shortcuts to Adiabaticity
• Optimal parent Hamiltonians for time-dependent states
• Minimal action control method in quantum critical models
• Quantum heat engines with multiferroic working substance