Energy consumption for shortcuts to adiabaticity

Torrontegui, E.; Lizuain, I.; González-Resines, S.; Tobalina, A.; Ruschhaupt, A.; Kosloff, Ronnie; Muga, J. G.

doi:10.1103/physreva.96.022133

Cited by 67 publications

(90 citation statements)

References 36 publications

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“…This interpretation only considers energy changes in the system. An extended definition should also account for the cost of the external controller [54][55][56], this additional cost requires an explicit description of the controller which is beyond the scope of this study.…”

Section: Dynamics Of the Carnot-analog Cyclementioning

confidence: 99%

Quantum signatures in the quantum Carnot cycle

Dann

Kosloff

2020

New J. Phys.

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The Carnot cycle combines reversible isothermal and adiabatic strokes to obtain optimal efficiency, at the expense of a vanishing power output. Quantum Carnot-analog cycles are constructed and solved, operating irreversibly with positive power. Swift thermalization is obtained in the isotherms utilizing shortcut to equilibrium protocols and the adiabats employ frictionless unitary shortcuts. The working medium in this study is composed of a particle in a driven harmonic trap. For this system, we solve the dynamics employing a generalized canonical state. Such a description incorporates both changes in energy and coherence. This allows comparing three types of Carnot-analog cycles, Carnot-shortcut, Endo-shortcut and Endo-global. The Carnot-shortcut engine demonstrates the trade-off between power and efficiency. It posses a maximum in power, a minimum cycle-time where it becomes a dissipator and for a diverging cycle-time approaches the ideal Carnot efficiency. The irreversibility of the cycle arises from non-adiabatic driving, which generates coherence. To study the role of coherence we compare the performance of the shortcut cycles, where coherence is limited to the interior of the strokes, with the Endo-global cycle where the coherence never vanishes. The Endo-global engine exhibits a quantum signature at a short cycle-time, manifested by a positive power output while the shortcut cycles become dissipators. If energy is monitored the back action of the measurement causes dephasing and the power terminates.CA c h [4,5], which has been generalized for weak dissipation [6,7].In the quantum regime energy transfer is constrained as well by the second law of thermodynamics [8][9][10][11]. Implying that quantum heat engines are also bounded by the Carnot efficiency. Reversibility and optimal efficiency is obtained in the quantum adiabatic limit, requiring an infinite cycle-time τ cycle .

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Section: Dynamics Of the Carnot-analog Cyclementioning

confidence: 99%

Quantum signatures in the quantum Carnot cycle

Dann

Kosloff

2020

New J. Phys.

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“…An alternative practical scheme for dealing with anharmonicity (i.e., nonlinear effects beyond the small-oscillation regime) was put forward in Ref. [64]: Instead of using a minimum set of parameters to the design of the auxiliary functions (α and b), Ansätze with additional parameters enable us to minimize the final excitation for a broad domain of initial angles. In Fig.…”

Section: Discussionmentioning

confidence: 99%

“…[65] in the harmonic approximation (the black dotted-dashed line) and for the exact dynamics (the green dashed line), (ii) an invariant-based protocol (the red dotted line) with a polynomial Ansatz (15) for α (the blue solid line in the harmonic approximation, the red dotted line for the exact dynamics), and (iii) an invariant-based protocol with three more parameters in the polynomial adjusted to flatten the excitation curve as in Ref. [64] (the blue solid line, indistinguishable from 1 in the scale of the figure throughout the entire angle interval). The parameters are taken from Ref.…”

Section: Discussionmentioning

confidence: 99%

“…The result can be made even better by increasing the order of the polynomial for α and using the free parameters to minimize the total excitation at a grid of selected initial angles; see Ref. [64]. Choosing three more parameters and the angles θð0Þ ¼ −20; −15, 15, 20, the energy ratio becomes indistinguishable from 1.…”

Section: Discussionmentioning

confidence: 99%

“…In Ref. [64], the dynamics of the crane is analyzed in terms of coupled dynamical equations for the trolley and the payload [20] for a transport operation (with a constant l),…”

Section: Discussionmentioning

confidence: 99%

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Invariant-Based Inverse Engineering of Crane Control Parameters

et al. 2017

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By applying invariant-based inverse engineering in the small-oscillation regime, we design the time dependence of the control parameters of an overhead crane (trolley displacement and rope length) to transport a load between two positions at different heights with minimal final-energy excitation for a microcanonical ensemble of initial conditions. The analogy between ion transport in multisegmented traps or neutral-atom transport in moving optical lattices and load manipulation by cranes opens a route for a useful transfer of techniques among very different fields.

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Improving Shortcuts to Non‐Hermitian Adiabaticity for Fast Population Transfer in Open Quantum Systems

Chen

Huang

et al. 2017

Annalen der Physik

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It is still a challenge to experimentally realize shortcuts to adiabaticity (STA) for a non-Hermitian quantum system since a non-Hermitian quantum system's counterdiabatic driving Hamiltonian contains some unrealizable auxiliary control fields. In this paper, we relax the strict condition in constructing STA and propose a method to redesign a realizable supplementary Hamiltonian to construct non-Hermitian STA. The redesigned supplementary Hamiltonian can be eithersymmetric or asymmetric. For the sake of clearness, we apply this method to an Allen-Eberly model as an example to verify the validity of the optimized non-Hermitian STA. The numerical simulation demonstrates that a ultrafast population inversion could be realized in a two-level non-Hermitian system.

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Energy consumption for shortcuts to adiabaticity

Cited by 67 publications

References 36 publications

Quantum signatures in the quantum Carnot cycle

Quantum signatures in the quantum Carnot cycle

Invariant-Based Inverse Engineering of Crane Control Parameters

Improving Shortcuts to Non‐Hermitian Adiabaticity for Fast Population Transfer in Open Quantum Systems

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