Shortcuts to Adiabaticity in Driven Open Quantum Systems: Balanced Gain and Loss and Non-Markovian Evolution

Abstract

A universal scheme is introduced to speed up the dynamics of a driven open quantum system along a prescribed trajectory of interest. This framework generalizes counterdiabatic driving to open quantum processes. Shortcuts to adiabaticity designed in this fashion can be implemented in two alternative physical scenarios: one characterized by the presence of balanced gain and loss, the other involves non-Markovian dynamics with time-dependent Lindblad operators. As an illustration, we engineer superadiabatic cooling, heating, and isothermal strokes for a two-level system, and provide a protocol for the fast thermalization of a quantum oscillator.

Shortcuts to Squeezed Thermal States

“…The particular choice of the correction Ω 1 made in Eq. (20) leads to a dissipator controled in position, as proposed in [48,51]. Should this dissipator not be the most experimentally suited, Eq.…”

“…Extension of STA to open quantum systems requires, in addition to the control Hamiltonian, a control dissipator. This was first explored for Markovian dynamics [47] and a general scheme has recently been put forward for arbitrary dynamics [48]. Other works have shown how to control the thermalization of a harmonic oscillator [49][50][51].…”

Environment-Assisted Shortcuts to Adiabaticity

“…It is exactly these pointer states that are the starting point of our analysis, and for which EASTA is designed. While previous studies [58][59][60] have explored STA methods for open quantum systems, to the best of our understanding, the environment was only considered a passive source of additional noise described by quantum master equations. In our paradigm, we recognize the active role that an environment plays in quantum dynamics, which is inspired by envariance and reminiscent of the mindset of quantum Darwinism.…”

Multi-spin counter-diabatic driving in many-body quantum Otto refrigerators

“…We note, that we apply the CD Hamiltonian only in the isentropic strokes as these are normally much longer than the thermalization strokes. However, techniques to speed up the latter have been also developed recently [48,[59][60][61][62].…”