Fields of interest: Shortcuts-to-Adiabaticity , Quantum and Classical Chaos
Adiabatic evolution is a common strategy for manipulating quantum states and has been employed in diverse fields such as quantum simulation, computation and annealing. However, adiabatic evolution is inherently slow and therefore susceptible to decoherence. Existing methods for speeding up adiabatic evolution require complex many-body operators or are difficult to construct for multi-level systems. We have been working on methods to construct driving protocols that involves local or quasi-local operators.
Using the tools of Floquet engineering, we design a scheme for high-fidelity quantum state manipulation, utilizing only the interactions available in the original Hamiltonian. Compared to the conventional fast-forward protocol, our Floquet-engineered protocol is more robust to external noise acting on the qubit. Our protocols were implemented in experiment done by our collaborators in Prof. Alex Sushkov's lab. For details, check out our paper
Counter-diabatic (CD) Hamiltonian helps in achieving transitionless evolution at arbitrary velocities by adding additional velocity-dependent counter terms to the Hamiltonian. However, CD Hamiltonian doesn't exist in thermodynamic limit for chaotic systems. The question, which we are working on, is how can we define an approximate CD Hamiltonian for such systems?
PhD Advisor: Prof. David K. Campbell
PhD candidate in Physics, BU, 2015-Present
BS-MS with major in Physics, IISER Kolkata, India, 2010-2015
Teaching Philosophy: With years of teaching experience, I have come to believe that there are two kinds of people in this world - those who enjoy Physics and those who didn't have a good teacher.
Courses taught in BU:
PY211: calculus based introductory Physics course
PY105: algebra based introductory Physics course
Testimonial from my previous students:
"Wouldn’t understand PY105 without him."
"Mohit is the best TF I’ve ever had (as a senior). Left a huge review on the online review so I’ll skip that here but he is the man!"
"Mohit is super boys (term from Hawaii which basically means cool). Very approachable and willing to explain in different ways until student understands. Please be my TF for PY106."
"I never thought I’d give a TF or any instructor for that matter, all 5s but he deserved every one of them."
"Mohit is the best Physics teacher I have ever had. I failed AP Physics in high school, but thanks to him, I am doing extremely well."