Variational Multi-Gaussian Quantum Trajectories
quant-ph, cond-mat.stat-mech
Submitted: 2026-09-24
Updated: 2026-09-24
Comments: 7 pages, 4 figures
License: http://creativecommons.org/licenses/by/4.0/
The gist: We propose a variational framework for the efficient simulation of stochastic quantum dynamics in interacting bosonic systems.
Terminology
Abstract
We propose a variational framework for the efficient simulation of stochastic quantum dynamics in interacting bosonic systems. Our method generalizes the time-dependent variational principle to accommodate quantum state diffusion processes and is tailored for describing quantum trajectories unraveled from a master equation. We adopt a wavefunction ansatz composed of a coherent superposition of Gaussian wavepackets, which allows the fully analytical assembly of the variational equations of motion while capturing both the quantum trajectory dynamics and the Lindblad evolution beyond semiclassical approximations. The method is carefully benchmarked on a Bose-Hubbard dimer, and applied to extended Bose-Hubbard lattices in both 1D and 2D. In particular, we show the emergence of a symmetry-breaking phase transition in 2D lattices, which is absent in 1D chains.
Sources
- Quantum Noise in Quantum Optics: the Stochastic Schr\"odinger Equation
- Variational Multi-Gaussian Phase-Space Dynamics via Automatic Differentiation
- Variational Dynamics of Open Quantum Spin Systems in Phase Space
- Quantum and Classical Potts Criticality in Driven-Dissipative Bosonic Lattices
- Computing quantum dynamics in the semiclassical regime
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