Shortcuts to thermodynamic quasistaticity

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 (17)

• 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
• Universal Work Fluctuations during Shortcuts To Adiabaticity by Counterdiabatic Driving
• Shortcut to Adiabaticity in the Lipkin-Meshkov-Glick Model
• Accuracy vs run time in adiabatic quantum search
• Thermodynamic control -- an old paradigm with new applications
• Fast forward to the classical adiabatic invariant
• Bang-bang shortcut to adiabaticity in the Dicke model as realized in a Penning trap experiment
• Geodesic path for the minimal energy cost in shortcuts to isothermality
• Testing quantum adiabaticity with quench echo
• Optimal finite-time Brownian Carnot engine
• Optimal quantum annealing: A variational shortcut to adiabaticity approach
• Counterdiabatic control in the impulse regime
• Shortcuts in stochastic systems and control of biophysical processes
• The three phases of quantum annealing: fast, slow, and very slow
• Assessing the performance of quantum annealing with nonlinear driving

Cited by in corpus (1)

• Failure of the geometric approach prediction of excess work scaling for open and isolated quantum systems