Abstract
Envariance is a symmetry exhibited by correlated quantum systems. Inspired by this “quantum fact of life,” we propose a novel method for shortcuts to adiabaticity, which enables the system to evolve through the adiabatic manifold at all times, solely by controlling the environment. As the main results, we construct the unique form of the driving on the environment that enables such dynamics, for a family of composite states of arbitrary dimension. We compare the cost of this environment-assisted technique with that of counterdiabatic driving, and we illustrate our results for a two-qubit model.
Highlights
We considered branching states {|ψSE i}, on a Hilbert space
HS ⊗ HE of arbitrary dimension, and we derived the general analytic form of the timedependent driving on HE, which guarantees that the system S evolves through the adiabatic manifold at all times
Through this environment-assisted shortcuts to adiabaticity scheme, we explicitly showed that the environment can act as a proxy to control the dynamics of the system of interest
Summary
We consider the unitary evolution of an ensemble of composite states {|ψSE i} on a Hilbert space HS ⊗ HE of arbitrary dimension, and we determine the general analytic form of the time-dependent driving on HE , which suppresses undesirable transitions in the system of interest S. This general driving on the environment E guarantees that the system S evolves through the adiabatic manifold at all times.
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