Path Integrals

A multisite decomposition of the tensor network path integrals
The dimensionality of the Hilbert space required to describe an extended system grows exponentially with the size of the system. We present a method that utilizes tensor networks with Feynman-Vernon influence functional to account for the dynamics of extended systems in presence of local dissipative media. Read in full detail…
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A multisite decomposition of the tensor network path integrals
A Tensor Network Representation of Path Integrals: Implementation and Analysis
Tensors with finite correlation afford very compact tensor network representations. A novel tensor network-based decomposition of …
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A Tensor Network Representation of Path Integrals: Implementation and Analysis
Quantum‐classical Path Integral Evaluation of Reaction Rates with a Near‐equilibrium Flux Formulation
Quantum-classical formulations of reactive flux correlation functions require the partial Weyl-Wigner transform of the thermalized flux …
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Quantum‐classical Path Integral Evaluation of Reaction Rates with a Near‐equilibrium Flux Formulation
All-Mode Quantum–Classical Path Integral Simulation of Bacteriochlorophyll Dimer Exciton-Vibration Dynamics
We use the quantum–classical path integral (QCPI) methodology to report numerically exact, fully quantum mechanical results for the …
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All-Mode Quantum–Classical Path Integral Simulation of Bacteriochlorophyll Dimer Exciton-Vibration Dynamics
Coherent State-Based Path Integral Methodology for Computing the Wigner Phase Space Distribution
The accurate evaluation of the Wigner phase space density for multidimensional system remains a challenging task. Path integral Monte …
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Coherent State-Based Path Integral Methodology for Computing the Wigner Phase Space Distribution
Non-equilibrium reactive flux: A unified framework for slow and fast reaction kinetics
The flux formulation of reaction rate theory is recast in terms of the expectation value of the reactive flux with an initial condition …
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