Abstract for Talk 1:
At the nanoscale, strong system-reservoir interactions are ubiquitous and could potentially play a significant role in the development of novel nanoscale quantum machines. As a result, a formulation of thermodynamics, which is to be valid in the quantum regime, must incorporate the effects of strong system reservoir couplings. The reaction coordinate (RC) mapping tackles the strong coupling regime by reshaping the system-environment boundary to include a collective degree of freedom from the environment. This process results in an enlarged system, which in turn, is weakly coupled to its surroundings, thus allowing the use of weak-coupling tools for simulations. Nevertheless, this approach is limited due to the growing Hilbert space of the extended system, and it does not offer analytical insights onto the strong coupling regime.
I will present our efforts to push beyond these limitations and develop a general, transparent, and efficient theory for strong coupling thermodynamics. By combing the RC mapping with the polaron transformation, followed by a judicious truncation of the Hamiltonian, we relocated strong coupling effects from the system-bath boundary into the energy parameters of the system, ending with a computationally tractable expression for an ``effective" Hamiltonian. We exemplified the power of this approach on canonical models for quantum thermalization, quantum heat transport, phonon-assisted charge transport, and energy conversion devices. We showed that the effective Hamiltonian method is numerically accurate and that it gathers analytical insights into strong coupling effects within a broad window of applicability.
Abstract for Talk 2:
The Kitaev spin liquid, a ground state of the bond-dependent Kitaev model in a honeycomb lattice has been a centre of attraction, since a microscopic theory to realize such an interaction in solid-state materials was discovered. A challenge in real materials though is the presence of other symmetry-allowed interactions detrimental to the Kitaev spin liquid, and there have been many debates on their relative strengths. Here we offer a strategy to determine the Kitaev interaction in a full microscopic model by utilizing the symmetries of the Hamiltonian under special magnetic field directions.