Department of Physics

Indian Institute Of Technology Madras , Chennai

Equilibration and information propagation in integrable many-body quantum systems.

Speaker : Somnath Maity, IIT Kanpur

2021-10-13

Abstract :

In the first part of my talk, I will discuss the equilibration of integrable systems in presence of aperiodic driving. We show that the presence of minimal randomness or aperiodicity on top of a perfectly periodic driving destabilizes the periodic steady-state, which is observed in the perfectly periodic situation. We demonstrate this result by incorporating a temporal binary randomness in an otherwise periodic driving. Within an exact analytical framework, we will show that the system, although integrable, reaches an infinite temperature ensemble in asymptotic time [1]. We further study the nature of the asymptotic steady state in the case of a quasi-periodic (such as the Fibonacci sequence) driving protocol [2]. In the second part of my talk, I will discuss the propagation of quantum correlations when an integrable system is coupled to a Markovian bath and explain the results within a quasi-particle picture, where the quasi-particles have a finite lifetime in contrast to isolated systems [3].



References:
[1] U. Bhattacharya, S. Maity, U. Banik and A. Dutta, Phys. Rev. B 97, 184308 (2018), S. Maity, U. Bhattacharya and A. Dutta, Phys. Rev. B 98, 064305 (2018).
[2] S. Maity, U. Bhattacharya, A. Dutta and D. Sen, Phys. Rev. B 99, 020306(R) (2019).
[3] S. Maity, S. Bandyopadhyay, S. Bhattacharjee, A. Dutta, Phys. Rev. B 101, 180301(R) (2020).

Key Speaker Somnath Maity, IIT Kanpur
Guests None
Place Online
Start Time 5:00 PM
Finish Time 6:00 PM
External Link None