Tensor Networks

Effect of temperature gradient on quantum transport
The recently introduced multisite tensor network path integral (MS-TNPI) method [Bose and Walters, J. Chem. Phys., 2022, 156, 24101] …
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Effect of temperature gradient on quantum transport
Pairwise connected tensor network representation of path integrals
While specific tensor networks like the matrix product state (MPS) have started to prove their utility in simulating non-equilibrium dynamics of quantum systems interacting with a condensed phase, these structures do not manifestly embody the explicit structure of the temporally non-local interactions induced by the condensed phase. Here we introduce a new tensor network which is designed to capture the specific symmetries in the non-Markovian interactions. Read more…
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Pairwise connected tensor network representation of 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 phase transitions in long-range interacting hyperuniform spin chains in a transverse field
Hyperuniform states of matter are characterized by anomalous suppression of long-wavelength density fluctuations. While most of the …
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