Real-time quantum dynamics, path integrals and the method of thimbles

DOI10.1007/JHEP06(2019)094zbMath1416.81123arXiv1902.09147OpenAlexW2949883928MaRDI QIDQ2314947

Paul M. Saffin, Anders Tranberg, Zong-Gang Mou, Simon J. R. Woodward

Publication date: 30 July 2019

Published in: Journal of High Energy Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.09147

zbMATH Keywords

stochastic processesnonperturbative effectslattice quantum field theory

Mathematics Subject Classification ID

Applications of statistics to physics (62P35) Path integrals in quantum mechanics (81S40) Quantum field theory on lattices (81T25) Nonperturbative methods of renormalization applied to problems in quantum field theory (81T16)

Related Items (6)

A new picture of quantum tunneling in the real-time path integral from Lefschetz thimble calculations ⋮ Optimisation of thimble simulations and quantum dynamics of multiple fields in real time ⋮ Statistics on Lefschetz thimbles: Bell/Leggett-Garg inequalities and the classical-statistical approximation ⋮ Quantum tunnelling, real-time dynamics and Picard-Lefschetz thimbles ⋮ Functional methods for false-vacuum decay in real time ⋮ Backpropagating hybrid Monte Carlo algorithm for fast Lefschetz thimble calculations

Cites Work

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• Real-time Feynman path integral with Picard-Lefschetz theory and its applications to quantum tunneling
• Gradient flows without blow-up for Lefschetz thimbles
• Brownian Motion of a Quantum Oscillator
• Parallel tempering algorithm for integration over Lefschetz thimbles
• Thermalization of quantum fields from time-reversal invariant evolution equations

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