Groop Seminar via Zoom: Non-equilibrium Spin Dynamics using the Discrete Truncated Wigner Approximation

Neethu Abraham, IISER Tirupati
Group Seminar via video conference (Zoom)
Tuesday, August 31st, 9:00 am (MEZ)

Due to the Covid-19 pandemic, we are now holding our group seminars and journal clubs via video conference.This procedure enables us to continue our research, enhance discussions and exchange important information.

Abstract:

Approximate simulation methods play a crucial role in the efficient numerical computation of quantum dynamics in many body spin systems since its exponentially increasing Hilbert space cannot be treated precisely. For my thesis, 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). By means of 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.

Due to the mathematical analogy of the Hamiltonians, we were also able to look at quench dynamics in condensed matter spin systems using essentially the same equations of motion and techniques. We try to explore a possible supremacy of DTWA over other numerical methods like tDMRG, for the study of Domain Wall melting in 2-dimensional spin lattice.

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