Dissipative failure of adiabatic quantum transport as a dynamical phase transition

F. Barratt; Aleix Bou Comas; P. Crowley; V. Oganesyan; P. Sollich; A. G. Green

doi:10.1103/PhysRevA.103.052427

Dissipative failure of adiabatic quantum transport as a dynamical phase transition

F. Barratt, Aleix Bou Comas, P. Crowley, V. Oganesyan, P. Sollich, A. G. Green

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Abstract

Entanglement is the central resource in adiabatic quantum transport. Dephasing affects the availability of that resource by biasing trajectories, driving transitions between success and failure. This depletion of entanglement is important for the practical implementation of quantum technologies. We present an alternative perspective on the failure of adiabatic computation by understanding the failure of adiabatic transport as a dynamical phase transition. These ideas are demonstrated in a toy model of adiabatic quantum transport in a two-spin system.

Original language	English
Article number	052427
Journal	Physical Review A
Volume	103
Issue number	5
Early online date	24 May 2021
DOIs	https://doi.org/10.1103/PhysRevA.103.052427
Publication status	Published - May 2021

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10.1103/PhysRevA.103.052427

Dissipative failure_BARRATT_Accepted 10 May 2021_GREEN_AAMAccepted author manuscript, 1.48 MB

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abstract = "Entanglement is the central resource in adiabatic quantum transport. Dephasing affects the availability of that resource by biasing trajectories, driving transitions between success and failure. This depletion of entanglement is important for the practical implementation of quantum technologies. We present an alternative perspective on the failure of adiabatic computation by understanding the failure of adiabatic transport as a dynamical phase transition. These ideas are demonstrated in a toy model of adiabatic quantum transport in a two-spin system.",

author = "F. Barratt and Comas, {Aleix Bou} and P. Crowley and V. Oganesyan and P. Sollich and Green, {A. G.}",

note = "Funding Information: We thank S. Gopalakrishnan and E. Kapit for useful discussions of ideas explored in this work. V.O. acknowledges support from the NSF DMR Grant No. 1508538. A.G.G. and F.B. acknowledge support from the EPSRC. Publisher Copyright: {\textcopyright} 2021 American Physical Society. Copyright: Copyright 2021 Elsevier B.V., All rights reserved.",

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AU - Oganesyan, V.

AU - Sollich, P.

AU - Green, A. G.

N1 - Funding Information: We thank S. Gopalakrishnan and E. Kapit for useful discussions of ideas explored in this work. V.O. acknowledges support from the NSF DMR Grant No. 1508538. A.G.G. and F.B. acknowledge support from the EPSRC. Publisher Copyright: © 2021 American Physical Society. Copyright: Copyright 2021 Elsevier B.V., All rights reserved.

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N2 - Entanglement is the central resource in adiabatic quantum transport. Dephasing affects the availability of that resource by biasing trajectories, driving transitions between success and failure. This depletion of entanglement is important for the practical implementation of quantum technologies. We present an alternative perspective on the failure of adiabatic computation by understanding the failure of adiabatic transport as a dynamical phase transition. These ideas are demonstrated in a toy model of adiabatic quantum transport in a two-spin system.

AB - Entanglement is the central resource in adiabatic quantum transport. Dephasing affects the availability of that resource by biasing trajectories, driving transitions between success and failure. This depletion of entanglement is important for the practical implementation of quantum technologies. We present an alternative perspective on the failure of adiabatic computation by understanding the failure of adiabatic transport as a dynamical phase transition. These ideas are demonstrated in a toy model of adiabatic quantum transport in a two-spin system.

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Dissipative failure of adiabatic quantum transport as a dynamical phase transition

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