Bosonic quadratic Hamiltonians

DOI10.1063/1.5017931zbMath1380.81500arXiv1608.03289OpenAlexW2512678692WikidataQ114104017 ScholiaQ114104017MaRDI QIDQ4600255

Jan Dereziński

Publication date: 8 January 2018

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1608.03289

Mathematics Subject Classification ID

Model quantum field theories (81T10) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Renormalization group methods applied to problems in quantum field theory (81T17) Many-body theory; quantum Hall effect (81V70) Operator algebra methods applied to problems in quantum theory (81R15)

Related Items (15)

Reduced fluctuations for bosons in a double well ⋮ Bounds on the bipartite entanglement entropy for oscillator systems with or without disorder ⋮ The decoherence-free subalgebra of Gaussian quantum Markov semigroups ⋮ Bogoliubov excitation spectrum of Bose gases ⋮ Bosons in a double well: two-mode approximation and fluctuations ⋮ The Random Phase Approximation for Interacting Fermi Gases in the Mean-Field Regime ⋮ Differential formalism and the thermodynamic description of multimode Gaussian equilibrium states ⋮ Explicit diagonalization of pair interaction models ⋮ Reflection positivity. Abstracts from the workshop held November 26 -- December 2, 2017 ⋮ Spectral analysis of an abstract pair interaction model ⋮ Derivation of 3D energy-critical nonlinear Schrödinger equation and Bogoliubov excitations for Bose gases ⋮ Scaling limits of bosonic ground states, from many-body to non-linear Schrödinger ⋮ Optimal rate of condensation for trapped bosons in the Gross-Pitaevskii regime ⋮ Gaussian Quantum Markov Semigroups on a One-Mode Fock Space: Irreducibility and Normal Invariant States ⋮ On irreducibility of Gaussian quantum Markov semigroups

Cites Work

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• Time-evolution of the external field problem in Quantum Electrodynamics
• Diagonalizing quadratic bosonic operators by non-autonomous flow equation
• Linear Symmetries of Free Boson Fields
• Mathematical aspects of the quantum theory of fields. Part V. Fields modified by linear homogeneous forces
• Introduction

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