Shortcuts to thermodynamic quasistaticity
arXiv:2206.12445 · doi:10.1103/PhysRevLett.129.170602
Abstract
The operation of near-term quantum technologies requires the development of feasible, implementable, and robust strategies of controlling complex many body systems. To this end, a variety of techniques, so-called "shortcuts to adiabaticty", have been developed. Many of these shortcuts have already been demonstrated to be powerful and implementable in distinct scenarios. Yet, it is often also desirable to have additional, approximate strategies available, that are applicable to a large class of systems. In this work, we hence take inspiration from thermodynamics and propose to focus on the macrostate, rather than the microstate. Adiabatic dynamics can then be identified as such processes that preserve the equation of state, and systematic corrections are obtained from adiabatic perturbation theory. We demonstrate this approach by improving upon fast quasiadiabatic driving, and by applying the method to the quantum Ising chain in the transverse field.
References in corpus (49)
- Shortcuts to adiabaticity: concepts, methods, and applications
- Fast optimal frictionless atom cooling in harmonic traps
- Dynamics of quantum phase transition: exact solution in quantum Ising model
- Shortcuts to adiabaticity
- Mathematical Foundation of Quantum Annealing
- Bounds for the adiabatic approximation with applications to quantum computation
- 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
- Minimizing irreversible losses in quantum systems by local counter-diabatic driving
- Coherent Diabatic Ion Transport and Separation in a Multi-Zone Trap Array
- Fast-forward of adiabatic dynamics in quantum mechanics
- Floquet-engineering counterdiabatic protocols in quantum many-body systems
- Shortcuts to adiabaticity by counterdiabatic driving for trapped-ion displacement in phase space
- Nonequilibrium work distribution of a quantum harmonic oscillator
- Engineered swift equilibration of a Brownian particle
- Universal Work Fluctuations during Shortcuts To Adiabaticity by Counterdiabatic Driving
- Quantitative conditions do not guarantee the validity of the adiabatic approximation
- Shortcut to Adiabaticity in the Lipkin-Meshkov-Glick Model
- Beyond the Quantum Adiabatic Approximation: Adiabatic Perturbation Theory
- Hamiltonian engineering via invariants and dynamical algebra
- The quantitative condition is necessary in guaranteeing the validity of the adiabatic approximation
- Fast quasi-adiabatic dynamics
- Controlling the speed and trajectory of evolution with counterdiabatic driving
- Shortcuts to isothermality and nonequilibrium work relations
- Fast transitionless expansions of cold atoms in optical Gaussian beam traps
- Quantum work statistics of linear and nonlinear parametric oscillators
- Fast-Forward Assisted STIRAP
- Accuracy vs run time in adiabatic quantum search
- Thermodynamic control -- an old paradigm with new applications
- Counterdiabatic driving in the quantum annealing of the -spin model: a variational approach
- Fast forward to the classical adiabatic invariant
- Vibrational mode multiplexing of ultracold atoms
- Speed-ups to isothermality: Enhanced quantum thermal machines through control of the system-bath coupling
- Noise Resistant Quantum Control Using Dynamical Invariants
- Bang-bang shortcut to adiabaticity in the Dicke model as realized in a Penning trap experiment
- Shortcuts to adiabaticity: Suppression of pair production in driven Dirac dynamics
- Boosting the performance of the Quantum Otto heat engines
- Geodesic path for the minimal energy cost in shortcuts to isothermality
- Testing quantum adiabaticity with quench echo
- Optimal finite-time Brownian Carnot engine
- Realistic Shortcuts to Adiabaticity in Optical Transfer
- Optimal quantum annealing: A variational shortcut to adiabaticity approach
- Fast and stable manipulation of a charged particle in a Penning trap
- Counterdiabatic control in the impulse regime
- Shortcuts in stochastic systems and control of biophysical processes
- Error Reduction in Quantum Annealing using Boundary Cancellation: Only the End Matters
- The three phases of quantum annealing: fast, slow, and very slow
- Bang-bang shortcut to adiabaticity in trapped ion quantum simulators
- Assessing the performance of quantum annealing with nonlinear driving