Joint ICTP/SISSA Statistical Physics Seminar, 10 June at 11:00am, by B.K. Agarwalla

[CMSP Seminars Secretariat]

---------------------------------------
Joint ICTP/SISSA Statistical Physics Seminar
---------------------------------------

** * * Tuesday 10 June**2025, 11:00**am ***(CET)** * **
*Luigi Stasi Seminar Room **(Leonardo Building, first floor)***
**
/Zoom: https://zoom.us/meeting/register/jN-MC0VuQTiuofNueOLhcQ/

Speaker:*Bijay Kumar Agarwalla *(Indian Institute of Science Education 
and Research, Pune)

Title: *Understanding bipartite particle number fluctuation and Page 
curve entanglement entropy in dephased fermionic lattice systems**
*

Abstract:

The universal properties of nonequilibrium dynamics in many-body quantum 
systems, particularly the relaxation of both local and non-local 
observables, have attracted significant attention in recent years.

The eigenstate thermalization hypothesis (ETH), for example, 
successfully predicts the rapid relaxation of local observables.  In 
contrast, the relaxation dynamics of non-local observables extend beyond 
ETH and their

equilibration is described by a few-parameter hydrodynamic model, 
reflecting the significantly slower relaxation processes involved. 
Furthermore, advances in experimental techniques have enabled access to

different non-local observables. A key non-local observable in quantum 
systems is the subsystem particle number fluctuation. In this talk, I 
will focus on a fermionic lattice system subjected to local dephasing at 
each

lattice site and show how the bipartite particle number fluctuations 
grow and thermalize. We show that the particle number fluctuation 
dynamics exhibit one-parameter Family-Vicsek scaling, I will then talk 
about

how for such setups, one can understand Page curve entanglement entropy 
and how different unraveling of the same physical setup can give rise to 
rich dynamics and system-size dependence for entanglement entropy.


References:

 1.

    Bipartite particle number fluctuations in dephased long-range
    lattice systems,Lokesh Tater, Subhajit Sarkar, Devendra Singh
    Bhakuni, and Bijay Kumar Agarwalla [arXiv: 2503.20356
    <https://arxiv.org/abs/2503.20356>]

 2.

    Quantum trajectories and Page-curve entanglement dynamics,Katha
    Ganguly
    <https://arxiv.org/search/cond-mat?searchtype=author&query=Ganguly,+K>,Preethi
    Gopalakrishnan
    <https://arxiv.org/search/cond-mat?searchtype=author&query=Gopalakrishnan,+P>,Atharva
    Naik
    <https://arxiv.org/search/cond-mat?searchtype=author&query=Naik,+A>,Bijay
    Kumar Agarwalla
    <https://arxiv.org/search/cond-mat?searchtype=author&query=Agarwalla,+B+K>,Manas
    Kulkarn
    <https://arxiv.org/search/cond-mat?searchtype=author&query=Kulkarni,+M>i,[arXiv:2501.12110
    <https://arxiv.org/abs/2501.12110>]