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Quantum Physics
Title: Generalization of group-theoretic coherent states for variational calculations
(Submitted on 22 Dec 2020 (v1), last revised 11 May 2021 (this version, v3))
Abstract: We introduce new 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.
Submission history
From: Tommaso Guaita [view email][v1] Tue, 22 Dec 2020 16:50:25 GMT (34kb,D)
[v2] Thu, 22 Apr 2021 10:37:24 GMT (34kb)
[v3] Tue, 11 May 2021 14:50:18 GMT (34kb)
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