Generalization of group-theoretic coherent states for variational calculations
Publikation: Bidrag til tidsskrift › Tidsskriftartikel › fagfællebedømt
Dokumenter
- Generalization of group-theoretic coherent states for variational calculations
Forlagets udgivne version, 483 KB, PDF-dokument
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.
Originalsprog | Engelsk |
---|---|
Artikelnummer | 023090 |
Tidsskrift | Physical Review Research |
Vol/bind | 3 |
Udgave nummer | 2 |
Antal sider | 17 |
ISSN | 2643-1564 |
DOI | |
Status | Udgivet - 3 maj 2021 |
Bibliografisk note
Funding Information:
We wish to thank Dr. J. E. Dumont and Dr. C. Delcroix for their stimulating and helpful discussions. We also thank Mrs. D. Legrand for her careful preparation of the manuscript. Work realized under Contract of the Minist~re de la Politique Scientifique within the framework of the Association Euratom--University of Brussels--University of Pisa.
Publisher Copyright:
© 2021 authors.
Antal downloads er baseret på statistik fra Google Scholar og www.ku.dk
ID: 284200375