Nonadiabatic quantum state engineering driven by fast quench dynamics

Abstract

There are a number of tasks in quantum information science that exploit non-transitional adiabatic dynamics. Such a dynamics is bounded by the adiabatic theorem, which naturally imposes a speed limit in the evolution of quantum systems. Here, we investigate an approach for quantum state engineering exploiting a shortcut to the adiabatic evolution, which is based on rapid quenches in a continuous-time Hamiltonian evolution. In particular, this procedure is able to provide state preparation faster than the adiabatic brachistochrone. Remarkably, the evolution time in this approach is shown to be ultimately limited by its "thermodynamical cost,"provided in terms of the average work rate (average power) of the quench process. We illustrate this result in a scenario that can be experimentally implemented in a nuclear magnetic resonance setup.

References in corpus (11)

• Quantum Simulation of Antiferromagnetic Spin Chains in an Optical Lattice
• Fluctuation theorems: Work is not an observable
• Shortcuts to adiabaticity
• Lewis-Riesenfeld invariants and transitionless tracking algorithm
• Assisted finite-rate adiabatic passage across a quantum critical point: Exact solution for the quantum Ising model
• Extracting quantum work statistics and fluctuation theorems by single qubit interferometry
• Measuring the characteristic function of the work distribution
• A Quantum Adiabatic Algorithm for Factorization and Its Experimental Implementation
• Quantum Adiabatic Brachistochrone
• Dynamical invariants for quantum control of four-level systems
• Quantum discord in nuclear magnetic resonance systems at room temperature

Cited by in corpus (17)

• Shortcuts to adiabaticity: concepts, methods, and applications
• Nonadiabatic Landau-Zener-Stückelberg-Majorana transitions, dynamics, and interference
• Energetic cost of quantum control protocols
• Hamiltonian design to prepare arbitrary states of four-level systems
• Generalized Shortcuts to Adiabaticity and Enhanced Robustness Against Decoherence
• Experimental Implementation of Generalized Transitionless Quantum Driving
• Charging power and stability of always-on transitionless driven quantum batteries
• Adiabatic Decoherence-Free Subspaces and its Shortcuts
• Vanishing efficiency of speeded-up quantum Otto engines
• Quantum gates by inverse engineering of a Hamiltonian
• The Dynamical Invariant of Open Quantum System
• Superadiabatic Control of Quantum Operations
• Engineering of Quantum State by Time-Dependent Decoherence-Free Subspaces
• Quantum adiabatic brachistochrone for open systems
• Dynamics of a driven open double two-level system and its entanglement generation
• Classical dissipative cost of quantum control
• Adiabatic Dynamics and Shortcuts to Adiabaticity: Fundamentals and Applications