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Abhishodh Prakash (ICTS-TIFR, Bangalore)
Date & Time
Tue, 18 August 2020, 17:30 to 19:00
Online seminar

Spectral correlations have emerged as a powerful probe to understand non-equilibrium physics, especially thermalization and quantum chaos. Chaotic systems have recently been shown to exhibit universal signatures in their so-called spectral form (SFF) factor, which are reproduced by random matrix ensembles, such as a 'linear ramp'. I will present results [1] where we derive an exact universal expression for the SFF for the many-body-localization(MBL) phase. We confirm the analytical result by matching with numerical calculations of two model physical systems exhibiting MBL (1) disordered quantum spin chains and (2) the phenomenological l-bit model. This SFF form is distinct from and complementary to that of quantum chaotic systems obtained from random matrix ensembles. [1] Abhishodh Prakash (ICTS-TIFR), Jedidah Pixley (Rutgers), Manas Kulkarni (ICTS-TIFR), manuscript in preparation

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Meeting ID:  934 4340 8383  
Passcode:  mbl