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

Alipour, S.; Chenu, Aurélia; Rezakhani, A. T.; Campo, Adolfo del

doi:10.22331/q-2020-09-28-336

Cited by 69 publications

(58 citation statements)

References 67 publications

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“…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.…”

Section: Let Us Now Detail the Open Control Protocolsmentioning

confidence: 99%

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Shortcuts to Squeezed Thermal States

Dupays

Chenu

2021

Quantum

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Squeezed state in harmonic systems can be generated through a variety of techniques, including varying the oscillator frequency or using nonlinear two-photon Raman interaction. We focus on these two techniques to drive an initial thermal state into a final squeezed thermal state with controlled squeezing parameters – amplitude and phase – in arbitrary time. The protocols are designed through reverse engineering for both unitary and open dynamics. Control of the dissipation is achieved using stochastic processes, readily implementable via, e.g., continuous quantum measurements. Importantly, this allows controlling the state entropy and can be used for fast thermalization. The developed protocols are thus suited to generate squeezed thermal states at controlled temperature in arbitrary time.

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Section: Let Us Now Detail the Open Control Protocolsmentioning

confidence: 99%

“…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].…”

Section: Introductionmentioning

confidence: 99%

Shortcuts to Squeezed Thermal States

Dupays

Chenu

2021

Quantum

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“…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.…”

Section: Envariance and Pointer Statesmentioning

confidence: 99%

Environment-Assisted Shortcuts to Adiabaticity

Touil

Deffner

2021

Entropy

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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.

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“…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].…”

Section: Multi-spin Counter-diabatic Drivingmentioning

confidence: 99%

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

Hartmann

Mukherjee

Mbeng

et al. 2020

Quantum

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Quantum refrigerators pump heat from a cold to a hot reservoir. In the few-particle regime, counter-diabatic (CD) driving of, originally adiabatic, work-exchange strokes is a promising candidate to overcome the bottleneck of vanishing cooling power. Here, we present a finite-time many-body quantum refrigerator that yields finite cooling power at high coefficient of performance, that considerably outperforms its non-adiabatic counterpart. We employ multi-spin CD driving and numerically investigate the scaling behavior of the refrigeration performance with system size. We further prove that optimal refrigeration via the exact CD protocol is a catalytic process.

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

Cited by 69 publications

References 67 publications

Shortcuts to Squeezed Thermal States

Shortcuts to Squeezed Thermal States

Environment-Assisted Shortcuts to Adiabaticity

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

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