Generalization of group-theoretic coherent states for variational calculations
Research output: Contribution to journal › Journal article › Research › peer-review
Documents
- Generalization of group-theoretic coherent states for variational calculations
Final published version, 483 KB, PDF document
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.
Original language | English |
---|---|
Article number | 023090 |
Journal | Physical Review Research |
Volume | 3 |
Issue number | 2 |
Number of pages | 17 |
ISSN | 2643-1564 |
DOIs | |
Publication status | Published - 3 May 2021 |
Bibliographical note
Publisher Copyright:
© 2021 authors.
Number of downloads are based on statistics from Google Scholar and www.ku.dk
ID: 284200375