Entanglement Induced Fluctuations of Cold Bosons

Abstract

We show that due to entanglement, quantum fluctuations may differ significantly from statistical fluctuations. We calculate quantum fluctuations of the particle number and of the energy in a sub-volume of a system of bosons in a pure state, and briefly discuss the possibility of measuring them. We find that energy fluctuations have a non-extensive nature.

Replaced with published version. Added calculations, explanations and clarifications, results unchanged

References in corpus (7)

• An entanglement-area law for general bosonic harmonic lattice systems
• Statistics dependence of the entanglement entropy
• The Holographic Entropy Bound and Local Quantum Field Theory
• Number fluctuations in cold quantum gases
• Area-scaling of quantum fluctuations
• Ground State Entanglement Energetics
• Thermodynamics and area in Minkowski space: Heat capacity of entanglement

Cited by in corpus (2)

• Black hole entropy divergence and the uncertainty principle
• Particle number fluctuations in a cloven trapped Bose gas at finite temperature