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Q: Fachverband Quantenoptik und Photonik
Q 56: Ultra-cold plasmas and Rydberg systems (joint session A/Q)
Q 56.5: Vortrag
Donnerstag, 17. März 2022, 15:00–15:15, A-H1
Non-equilibrium Spin Dynamics using the Discrete Truncated Wigner Approximation — •Neethu Abraham1,2 and Sebastian Wüster1 — 1Department of Physics, Indian Institute of Science Education and Research, Bhopal, Madhya Pradesh 462 066, India — 2Department of Physics, Indian Institute of Science Education and Research, Tirupati, Andhra Pradesh 517 507, India
Approximate simulation methods play a crucial role in the efficient numerical computation of quantum dynamics in many body spin systems, since the exponentially increasing dimension of their Hilbert space cannot be treated exactly. We have investigated the realm of applicability of a very recently developed phase space method, based on the Monte Carlo sampling of the discrete Wigner function: the discrete truncated Wigner approximation (DTWA). Using the DTWA, we show that an aggregate of Rydberg atoms immersed in a background of detector atoms can serve as a quantum simulating platform for various many body physics problems. Decoherence in the excitation transport induced by the interactions with the background atoms can be controlled by altering the distance between the aggregate and detector atoms. This may allow for an experimental platform to examine energy transport subject to an environment.
We were also able to look at quench dynamics in condensed matter spin systems using essentially the same techniques due to the mathematical similarities between the Hamiltonians of these two systems. We explore the possible supremacy of DTWA over other methods, such as tDMRG, for the study of Domain Wall melting in a 2D spin lattice.