Coherent state path integrals in the continuum

Abstract

We discuss the time-continuous path integration in the coherent states basis in a way that is free from inconsistencies. Employing this notion we reproduce known and exact results working directly in the continuum. Such a formalism can set the basis to develop perturbative and non-perturbative approximations already known in the quantum field theory community. These techniques can be proven useful in a great variety of problems where bosonic Hamiltonians are used.

To appear in "Physical Review A"

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Cited by in corpus (9)

• The Dissipative Bose-Hubbard Model. Methods and Examples
• Open systems with error bounds: spin boson model with spectral density variations
• Non-equilibrium dynamics in dissipative Bose-Hubbard chains
• Comment on 'Coherent-state path integrals in the continuum'
• Exact path-integral evaluation of locally interacting systems: The subtlety of operator ordering
• Mean-field dynamics of a Bose-Hubbard chain coupled to a non-Markovian environment
• Disentanglement Approach to Quantum Spin Ground States: Field Theory and Stochastic Simulation
• Hubbard-Stratonovich transformation and consistent ordering in the coherent state path integral: insights from stochastic calculus
• Error Bounds for Open Quantum Systems with Harmonic Bosonic Bath