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QI: Fachverband Quanteninformation

QI 27: Quantum Simulation II

QI 27.8: Vortrag

Donnerstag, 21. März 2024, 17:00–17:15, HFT-FT 101

Simulation of the Dissipative Dynamics of Strongly Interacting NV Centers with Tensor Networks — •Jirawat Saiphet and Daniel Braun — Institut für Theoretische Physik, Universität Tübingen, Auf der Morgenstelle 14-D, 72076 Tübingen

NV centers in diamond are a promising platform for high-sensitivity quantum sensing. The successful creation of nanometer-separated double and triple NVs in a quantum register paves the way for enhancing sensitivity through NV-NV dipolar coupling. Hence, controlling these strongly interacting NVs becomes essential. However, simulating the dynamics of a many-body system, even for a few bodies, is a challenging task due to exponential scaling of the dimension of Hilbert space. To circumvent this problem, we employ the tensor network technique, representing the many-body state in the forms of a Matrix Product State (MPS) and a Matrix Product Density Operator (MPDO).

We address the issue of simulating the real-time evolution of a finite number of NVs with strong and long-range coupling via dipole-dipole interaction. Initially, we benchmark tensor network algorithms for time-evolution in terms of numerical accuracy and stability. Subsequently, we simulate the dynamics of the mixed state with and without dissipation. Finally, we implement an optimization algorithm to find optimal controls for preparing a highly entangled state.

Keywords: NV center; Tensor Network