Entanglement in bosonic systems

Abstract

We present a technique to resolve a Gaussian density matrix and its time evolution through known expectation values in position and momentum. Further we find the full spectrum of this density matrix and apply the technique to a chain of harmonic oscillators to find agreement with conformal field theory in this domain. We also observe that a non-conformal state has a divergent entanglement entropy.

7 pages, 6 figures

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Cited by in corpus (11)

• Entanglement scaling in critical two-dimensional fermionic and bosonic systems
• Scaling Behavior of Entanglement in Two- and Three-Dimensional Free Fermions
• Entanglement Entropy in the Two-Dimensional Random Transverse Field Ising Model
• Violation of Entanglement-Area Law in Bosonic Systems with Bose Surfaces: Possible Application to Bose Metals
• An Area Law for the Bipartite Entanglement of Disordered Oscillator Systems
• Quantum entanglement of decohered two-mode squeezed states in absorbing and amplifying environment
• Entanglement properties of quantum spin chains
• Generation of long-living entanglement using cold trapped ions with pair cat states
• Many-Body Localization: Concepts and Simple Models
• Scaling functions for eigenstate entanglement crossovers in harmonic lattices
• Entanglement and its applications in systems with many degrees of freedom