Abstract: 

The present study is about investigating the dynamics of open quantum systems, that is, quantum systems interacting with an environment, while invoking as few approximations as possible. Current approaches largely rely on various approximations such as weak system-environment coupling, ‘memory-less’ environments, and negligible initial system-environment correlations, but the validity of these approximations is questionable for many realistic quantum systems - quantum dots and superconducting qubits are two examples. We aim to study the dynamics of open quantum systems beyond these approximations, thus shedding light on how quantum systems actually interact with their environment. In particular, we will be interested in open quantum systems subjected to driving fields. To this end, we will study the role of initial correlations for driven open quantum systems in general. The Jaynes-Cummings model will also be studied without the usual rotating wave approximation (RWA) and taking into account the initial correlations. Similarly, linear response theory will be studied for open quantum systems while taking into account the initial system-environment correlations. Throughout, our aim will be to also investigate the interplay between the effect of initial correlations and non-Markovianity. The potential applications of this research project are endless, ranging from nanotechnology to nuclear magnetic resonance to quantum computing.

Proposal Defence Committee

1. Dr. Muhammad Faryad (Supervisor)
2. Dr. Adam Zaman (Co-supervisor)
3. Dr. Ata Ulhaq  (Member)
4. Dr. Rafi Ullah (Member)

Link to Zoom Meetings: https://lums-edu-pk.zoom.us/j/95633510975?pwd=L3kwMXBNbGIxVlJPNnJxUkNsSi9zZz09

Meeting ID: 956 3351 0975
Passcode: 233162