Floquet analysis of the dynamics of current flow in a periodically driven hard-core bosonic system
ABSTRACT :
Periodically driven classical and quantum systems are ubiquitous in different areas of physics. Recently, these kinds of driven systems have got its prominence in the condensed-matter community because of its possibilities in engineering new phases of matter having exotic quantum properties. These systems are theoretically studied under Floquet formalism. The most important element of the Floquet formalism is to derive an effective time-independent Hamiltonian, also known as the Floquet Hamiltonian, which gives effectively the same dynamics as that of the original time-dependent Hamiltonian. Except for a very few cases, one has to employ a perturbation scheme to obtain the Floquet Hamiltonian approximately. A chain of hard-core bosons (HCBs), subject to a periodic Dirac delta-function kick in the staggered on-site potential is one such exceptional case. This talk will start with a brief discussion about the Floquet formalism. Then the chain of HCBs system will be introduced. Finally, our recent results related to the current flow through the system and the work done on the system to maintain the current flow will be discussed.