Generalization of group-theoretic coherent states for variational calculations

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Standard

Generalization of group-theoretic coherent states for variational calculations. / Guaita, Tommaso; Hackl, Lucas; Shi, Tao; Demler, Eugene; Cirac, J. Ignacio.

I: Physical Review Research, Bind 3, Nr. 2, 023090, 03.05.2021.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Guaita, T, Hackl, L, Shi, T, Demler, E & Cirac, JI 2021, 'Generalization of group-theoretic coherent states for variational calculations', Physical Review Research, bind 3, nr. 2, 023090. https://doi.org/10.1103/PhysRevResearch.3.023090

APA

Guaita, T., Hackl, L., Shi, T., Demler, E., & Cirac, J. I. (2021). Generalization of group-theoretic coherent states for variational calculations. Physical Review Research, 3(2), [023090]. https://doi.org/10.1103/PhysRevResearch.3.023090

Vancouver

Guaita T, Hackl L, Shi T, Demler E, Cirac JI. Generalization of group-theoretic coherent states for variational calculations. Physical Review Research. 2021 maj 3;3(2). 023090. https://doi.org/10.1103/PhysRevResearch.3.023090

Author

Guaita, Tommaso ; Hackl, Lucas ; Shi, Tao ; Demler, Eugene ; Cirac, J. Ignacio. / Generalization of group-theoretic coherent states for variational calculations. I: Physical Review Research. 2021 ; Bind 3, Nr. 2.

Bibtex

@article{60c2d8b649e744cb9c9b6d29c435f5f6,
title = "Generalization of group-theoretic coherent states for variational calculations",
abstract = "We introduce families of pure quantum states that are constructed on top of the well-known Gilmore-Perelomov group-theoretic coherent states. We do this by constructing unitaries as the exponential of operators quadratic in Cartan subalgebra elements and by applying these unitaries to regular group-theoretic coherent states. This enables us to generate entanglement not found in the coherent states themselves, while retaining many of their desirable properties. Most importantly, we explain how the expectation values of physical observables can be evaluated efficiently. Examples include generalized spin-coherent states and generalized Gaussian states, but our construction can be applied to any Lie group represented on the Hilbert space of a quantum system. We comment on their applicability as variational families in condensed matter physics and quantum information.",
author = "Tommaso Guaita and Lucas Hackl and Tao Shi and Eugene Demler and Cirac, {J. Ignacio}",
note = "Publisher Copyright: {\textcopyright} 2021 authors.",
year = "2021",
month = may,
day = "3",
doi = "10.1103/PhysRevResearch.3.023090",
language = "English",
volume = "3",
journal = "Physical Review Research",
issn = "2643-1564",
publisher = "AMER PHYSICAL SOC",
number = "2",

}

RIS

TY - JOUR

T1 - Generalization of group-theoretic coherent states for variational calculations

AU - Guaita, Tommaso

AU - Hackl, Lucas

AU - Shi, Tao

AU - Demler, Eugene

AU - Cirac, J. Ignacio

N1 - Publisher Copyright: © 2021 authors.

PY - 2021/5/3

Y1 - 2021/5/3

N2 - We introduce families of pure quantum states that are constructed on top of the well-known Gilmore-Perelomov group-theoretic coherent states. We do this by constructing unitaries as the exponential of operators quadratic in Cartan subalgebra elements and by applying these unitaries to regular group-theoretic coherent states. This enables us to generate entanglement not found in the coherent states themselves, while retaining many of their desirable properties. Most importantly, we explain how the expectation values of physical observables can be evaluated efficiently. Examples include generalized spin-coherent states and generalized Gaussian states, but our construction can be applied to any Lie group represented on the Hilbert space of a quantum system. We comment on their applicability as variational families in condensed matter physics and quantum information.

AB - We introduce families of pure quantum states that are constructed on top of the well-known Gilmore-Perelomov group-theoretic coherent states. We do this by constructing unitaries as the exponential of operators quadratic in Cartan subalgebra elements and by applying these unitaries to regular group-theoretic coherent states. This enables us to generate entanglement not found in the coherent states themselves, while retaining many of their desirable properties. Most importantly, we explain how the expectation values of physical observables can be evaluated efficiently. Examples include generalized spin-coherent states and generalized Gaussian states, but our construction can be applied to any Lie group represented on the Hilbert space of a quantum system. We comment on their applicability as variational families in condensed matter physics and quantum information.

UR - http://www.scopus.com/inward/record.url?scp=85108195921&partnerID=8YFLogxK

U2 - 10.1103/PhysRevResearch.3.023090

DO - 10.1103/PhysRevResearch.3.023090

M3 - Journal article

AN - SCOPUS:85108195921

VL - 3

JO - Physical Review Research

JF - Physical Review Research

SN - 2643-1564

IS - 2

M1 - 023090

ER -

ID: 284200375