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Updated: Nov 24, 2025
05:39
Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform
Published on: August 2, 2019
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Open System Tensor Networks and Kramers' Crossover for Quantum Transport.
Gabriela Wójtowicz1, Justin E Elenewski2,3, Marek M Rams1
1Jagiellonian University, Institute of Theoretical Physics, Lojasiewicza 11, 30-348 Kraków, Poland.
Physical Review. A
|December 28, 2020
Summary
Tensor network simulations for quantum transport face challenges with entanglement growth. This study introduces an extended reservoir approach to enable logarithmic entanglement growth, allowing scalable many-body transport calculations.
Area of Science:
- Quantum Many-Body Physics
- Condensed Matter Theory
Background:
- Tensor networks are effective for ground states but struggle with time-dependent processes like quantum transport due to linear entanglement growth.
- Matrix-product-state decompositions become computationally intractable for simulating long-timescale dynamics.
Purpose of the Study:
- To develop a scalable tensor network method for simulating quantum transport in open systems.
- To overcome the limitations of exponential bond dimension growth in simulating non-equilibrium dynamics.
Main Methods:
- An ansatz is applied to open systems using extended reservoirs with explicit relaxation.
- Reservoir modes are arranged according to their scattering structure to achieve logarithmic entanglement growth.
Main Results:
- The method enables transport calculations for open systems, accessing steady states, time dynamics, and noise.
- Demonstrated calculation of transport characteristics for an open, interacting system.
- Successfully simulated Floquet states under periodic driving.
Conclusions:
- The extended reservoir approach provides a path to scalable and numerically systematic many-body transport calculations using tensor networks.
- This method overcomes previous limitations in simulating entanglement growth for open quantum systems.
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