Gaussian States for Quantum Systems with Linear Constraints and Quadratic Hamiltonians
O.Yu.Shvedov
TL;DR
This paper investigates Gaussian states in constrained quantum systems with quadratic Hamiltonians, exploring their properties, evolution, and introducing a Maslov complex germ concept.
Contribution
It introduces a new approach to Gaussian states in constrained systems, including the Maslov complex germ for systems with linear constraints.
Findings
Properties of Gaussian states are characterized.
Evolution of Gaussian states under quadratic Hamiltonians is analyzed.
A new notion of Maslov complex germ is proposed.
Abstract
Different constructions for Hilbert state space for constrained systems are investigated. Properties of Gaussian states analogous to quantum mechanical Gaussian wave functions are studied. Their evolution for quadratic Hamiltonian case are discussed. A notion of Maslov complex germ is introduced for systems with linear constraints.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsQuantum chaos and dynamical systems · Quantum Mechanics and Non-Hermitian Physics · Quantum Mechanics and Applications