Reservoir-engineering shortcuts to adiabaticity

We propose a protocol that achieves fast adiabatic transfer between two orthogonal states of a qubit by coupling with an ancilla. The qubit undergoes Landau-Zener dynamics, whereas the coupling realizes a time-dependent Hamiltonian, which is diagonal in the spin's instantaneous Landau-Zener eig...

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Main Authors: Raphaël Menu, Josias Langbehn, Christiane P. Koch, Giovanna Morigi
Format: Article
Language:English
Published: American Physical Society 2022-07-01
Series:Physical Review Research
Online Access:http://doi.org/10.1103/PhysRevResearch.4.033005
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author Raphaël Menu
Josias Langbehn
Christiane P. Koch
Giovanna Morigi
author_facet Raphaël Menu
Josias Langbehn
Christiane P. Koch
Giovanna Morigi
author_sort Raphaël Menu
collection DOAJ
description We propose a protocol that achieves fast adiabatic transfer between two orthogonal states of a qubit by coupling with an ancilla. The qubit undergoes Landau-Zener dynamics, whereas the coupling realizes a time-dependent Hamiltonian, which is diagonal in the spin's instantaneous Landau-Zener eigenstates. The ancilla (or meter), in turn, couples to a thermal bath such that the overall dynamics is incoherent. We analyze the protocol's fidelity as a function of the strength of the coupling and of the relaxation rate of the meter. When the meter's decay rate is the largest frequency scale of the dynamics, the spin dynamics is encompassed by a master equation describing dephasing of the spin in the instantaneous eigenbasis. In this regime, the fidelity of adiabatic transfer improves as the bath temperature is increased. Surprisingly, the adiabatic transfer is significantly more efficient in the opposite regime, where the timescale of the ancilla dynamics is comparable to the characteristic spin timescale. Here, for low temperatures the coupling with the ancilla tends to suppress diabatic transitions via effective cooling. The protocol can be efficiently implemented by means of a pulsed, stroboscopic coupling with the ancilla and is robust against moderate fluctuations of the experimental parameters.
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spelling doaj.art-5bfaeb92e82a4bd3b6b921d1e837e2432024-04-12T17:22:26ZengAmerican Physical SocietyPhysical Review Research2643-15642022-07-014303300510.1103/PhysRevResearch.4.033005Reservoir-engineering shortcuts to adiabaticityRaphaël MenuJosias LangbehnChristiane P. KochGiovanna MorigiWe propose a protocol that achieves fast adiabatic transfer between two orthogonal states of a qubit by coupling with an ancilla. The qubit undergoes Landau-Zener dynamics, whereas the coupling realizes a time-dependent Hamiltonian, which is diagonal in the spin's instantaneous Landau-Zener eigenstates. The ancilla (or meter), in turn, couples to a thermal bath such that the overall dynamics is incoherent. We analyze the protocol's fidelity as a function of the strength of the coupling and of the relaxation rate of the meter. When the meter's decay rate is the largest frequency scale of the dynamics, the spin dynamics is encompassed by a master equation describing dephasing of the spin in the instantaneous eigenbasis. In this regime, the fidelity of adiabatic transfer improves as the bath temperature is increased. Surprisingly, the adiabatic transfer is significantly more efficient in the opposite regime, where the timescale of the ancilla dynamics is comparable to the characteristic spin timescale. Here, for low temperatures the coupling with the ancilla tends to suppress diabatic transitions via effective cooling. The protocol can be efficiently implemented by means of a pulsed, stroboscopic coupling with the ancilla and is robust against moderate fluctuations of the experimental parameters.http://doi.org/10.1103/PhysRevResearch.4.033005
spellingShingle Raphaël Menu
Josias Langbehn
Christiane P. Koch
Giovanna Morigi
Reservoir-engineering shortcuts to adiabaticity
Physical Review Research
title Reservoir-engineering shortcuts to adiabaticity
title_full Reservoir-engineering shortcuts to adiabaticity
title_fullStr Reservoir-engineering shortcuts to adiabaticity
title_full_unstemmed Reservoir-engineering shortcuts to adiabaticity
title_short Reservoir-engineering shortcuts to adiabaticity
title_sort reservoir engineering shortcuts to adiabaticity
url http://doi.org/10.1103/PhysRevResearch.4.033005
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AT josiaslangbehn reservoirengineeringshortcutstoadiabaticity
AT christianepkoch reservoirengineeringshortcutstoadiabaticity
AT giovannamorigi reservoirengineeringshortcutstoadiabaticity