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HL: Fachverband Halbleiterphysik

HL 30: Poster 2

HL 30.46: Poster

Donnerstag, 8. September 2022, 11:00–13:00, P3

Numerically exact simulations of quantum devices coupled to arbitrary environments using tensor networks — •Moritz Cygorek¹, Vollrath Martin Axt², Brendon W. Lovett³, Jonathan Keeling³, and Erik M. Gauger¹ — ¹Heriot-Watt University, Edinburgh, UK — ²Universität Bayreuth, Germany — ³University of St Andrews, UK

Reliable predictions of the dynamics in nanoscale quantum devices with applications in photonics, transport, quantum information and communication require a careful consideration of environment effects. Here, we present the novel numerical method Automated Compression of Environments (ACE): The open quantum systems dynamics is expressed in terms of a tensor network, where the influence of the environment is incorporated into a matrix product operator in time, the so-called process tensor. ACE provides a direct way to calculate this process tensor numerically exactly with numerical errors originating only from time discretization and matrix product operator compression. As the numerical procedure starts directly from the microscopic Hamiltonian, no problem-specific derivations are required. Thus, as we show on a series of examples, one and the same computer code can be used to simulate the dynamics of open quantum systems with environments as diverse as photons, phonons, electrons, and spins, as well as combinations of multiple environments. This proof of principle demonstrates the tremendous potential of tensor network approaches as one-size-fits-all solutions to open quantum systems dynamics.