Abstract
Fast nonadiabatic control protocols known as shortcuts to adiabaticity have found a plethora of applications, but their use has been severely limited to speeding up the dynamics of isolated quantum systems. We introduce shortcuts for open quantum processes that make possible the fast control of Gaussian states in non-unitary processes. Specifically, we provide the time modulation of the trap frequency and dephasing strength that allow preparing an arbitrary thermal state in a finite time. Experimental implementation can be done via stochastic parametric driving or continuous measurements, readily accessible in a variety of platforms.
Highlights
Fast nonadiabatic control protocols known as shortcuts to adiabaticity have found a plethora of applications, but their use has been severely limited to speeding up the dynamics of isolated quantum systems
Techniques known as shortcuts to adiabaticity (STA) have provided an alternative to adiabatic driving with a wide variety of applications [1]
The experimental demonstration of STA was pioneered in a trapped thermal cloud [2], soon followed by implementations in Bose-Einstein condensates [3], cold atoms in optical lattices [4], and low-dimensional quantum fluids [5]
Summary
To modulate the dephasing strength γt > 0 in the laboratory, we propose two different strategies: (i) harnessing noise as a resource [41,42] or (ii) via continuous measurements, which have been implemented in, e.g., trapped ions [43] and solid-state qubits [44], respectively. Using the fact that the average of any function Ft of the stochastic process vanishes, Ft dWt = 0 [46], we find that the evolution for the ensemble density matrix ρt as dictated by the master equation (2). The engineering of a prescribed modulation in time of the dephasing strength γt can be achieved via stochastic parametric driving or continuous measurements, provided that γt > 0. Both techniques allow modulating γt independently from the frequency ωt , which contrasts with the time-dependent Markovian quantum master equation derived by driving the coupling of a system to a thermal bath [53]. Our scheme can be readily implemented in a single trapped ion [54], in which the creation of an open dynamics with artificial environment [55,56] or via the addition of noise [43] have been experimentally demonstrated
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