171 citations · 1.1k across the 73 of their papers we have counts for
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Julia Set in Quantum Evolution: The case of Dynamical Quantum Phase Transitions
Manmeet Kaur, Somendra M. Bhattacharjee
Dynamical quantum phase transitions (DQPTs) are a class of non-equilibrium phase transitions that occur in many-body quantum systems during real-time evolution, rather than through…
Complex dynamics approach to dynamical quantum phase transitions: the Potts model
Somendra M. Bhattacharjee
This paper introduces complex dynamics methods to study dynamical quantum phase transitions in the one- and two-dimensional quantum 3-state Potts model. The quench involves switchi…
Efimov-DNA Phase diagram: three stranded DNA on a cubic lattice
Somendra M. Bhattacharjee, Damien Paul Foster
We define a generalised model for three-stranded DNA consisting of two chains of one type and a third chain of a different type. The DNA strands are modelled by random walks on the…
Boundaries and unphysical fixed points in Dynamical Quantum Phase Transitions
Amina Khatun, Somendra M. Bhattacharjee
We show that dynamic quantum phase transitions (DQPT) in many situations involve renormalization group (RG) fixed points that are unphysical in the context of thermal phase transit…
Zeros of partition function for Continuous Phase Transitions using cumulants
Debjyoti Majumdar, Somendra M. Bhattacharjee
This paper explores the use of a cumulant method to determine the zeros of partition functions for continuous phase transitions. Unlike a first-order transition, with a uniform den…
Global Density Profile for Asymmetric Simple Exclusion Process from Renormalization Group Flows
Sutapa Mukherji, Somendra M. Bhattacharjee
The totally asymmetric simple exclusion process along with particle adsorption and evaporation kinetics is a model of boundary-induced nonequilibrium phase transition. In the conti…