10 papers
Semidefinite programming for understanding the limitations of Lindblad equations
Soumyadeep Sarma, Manas Kulkarni, Archak Purkayastha +1
Lindbladian quantum master equations (LEs) are the most popular descriptions for quantum systems weakly coupled to baths. But, recent works have established that in many situations…
Quantum non-Markovian Hatano-Nelson model
Sumit Kumar Jana, Ryo Hanai, Tan Van Vu +2
While considering non-Hermitian Hamiltonians arising in the presence of dissipation, in most cases, the dissipation is taken to be frequency independent. However, this idealization…
Accelerated calculation of impurity Green's functions exploiting the extreme Mpemba effect
David J. Strachan, Archak Purkayastha, Stephen R. Clark
Simulating the dynamics of quantum impurity models remains a fundamental challenge due to the complex memory effects that arise from system-environment interactions. Of particular…
On the difference between thermalization in open and isolated quantum systems: a case study
Archak Purkayastha, Giacomo Guarnieri, Janet Anders +1
Thermalization of isolated and open quantum systems has been studied extensively. However, being the subject of investigation by different scientific communities and being analysed…
Quantum many-body attractors
Berislav Buca, Archak Purkayastha, Giacomo Guarnieri +3
Complex dynamics when occurring autonomously, i.e. without external driving, is usually associated with everyday length scales and classical physics, e.g. living organisms. This dy…
Extracting Dynamical Maps of Non-Markovian Open Quantum Systems
David J. Strachan, Archak Purkayastha, Stephen R. Clark
The most general description of quantum evolution up to a time is a completely positive tracing preserving map known as a dynamical map . Here we consider $\hatÎ(…