2D cubically driven Bose-Hubbard lattices with single-photon losses show 2D classical three-state Potts criticality; 1D chains with three-photon losses show 1D quantum three-state Potts criticality.
Efficient Variational Dynamics of Open Quantum Bosonic Systems via Automatic Differentiation
4 Pith papers cite this work. Polarity classification is still indexing.
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abstract
We introduce a scalable variational method for simulating the dynamics of interacting open quantum bosonic systems deep in the quantum regime. The method is based on a multi-dimensional Wigner phase-space representation and employs a Variational Multi-Gaussian (VMG) ansatz, whose accuracy is systematically controlled by the number of Gaussian components. The variational equations of motion are derived from the Dirac-Frenkel principle and evaluated efficiently by combining the analytical structure of Gaussian functions with automatic differentiation. As a key application, we study a driven-dissipative two-dimensional Bose-Hubbard lattice with two-boson coherent driving and two-body losses. Using our dynamical approach, we compute the finite-size scaling of the Liouvillian spectral gap - extracted from the relaxation dynamics - which vanishes in the thermodynamic limit. Our results reveal critical slowing down with dynamical exponents of the 2D quantum Ising universality class, demonstrating the power of our method to capture complex quantum dynamics in large open systems.
fields
quant-ph 4years
2026 4representative citing papers
A semiclassical framework using generalized spin-wave approximations on quantum trajectories from the master equation enables efficient simulation of non-equilibrium dynamics in open spin systems, revealing interaction-range-dependent continuous Z2 symmetry-breaking transitions for drive-axis Dissip
Quantum jump correlations and waiting-time distributions in long-range dissipative spins display clear signatures of the paramagnetic-to-ferromagnetic transition when analyzed with tilted Lindbladian, cluster mean-field, and cumulant expansion methods.
Kerr parametric oscillator networks function as Ising selector machines, where pump detuning steers the system to ground, highest, or intermediate excited states with exponentially enhanced selection probability.
citing papers explorer
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Quantum and Classical Potts Criticality in Driven-Dissipative Bosonic Lattices
2D cubically driven Bose-Hubbard lattices with single-photon losses show 2D classical three-state Potts criticality; 1D chains with three-photon losses show 1D quantum three-state Potts criticality.
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Generalized stochastic spin-wave theory for open quantum spin systems
A semiclassical framework using generalized spin-wave approximations on quantum trajectories from the master equation enables efficient simulation of non-equilibrium dynamics in open spin systems, revealing interaction-range-dependent continuous Z2 symmetry-breaking transitions for drive-axis Dissip
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Quantum jump correlations in long-range dissipative spin systems via cluster and cumulant expansions
Quantum jump correlations and waiting-time distributions in long-range dissipative spins display clear signatures of the paramagnetic-to-ferromagnetic transition when analyzed with tilted Lindbladian, cluster mean-field, and cumulant expansion methods.
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Ising selector machine by Kerr parametric oscillators
Kerr parametric oscillator networks function as Ising selector machines, where pump detuning steers the system to ground, highest, or intermediate excited states with exponentially enhanced selection probability.