Nonequilibrium Quantum Transport, Probes and Simulations

ended

Nonequilibrium Quantum Transport, Probes and Simulations is an ambitious research proposal aimed at designing both theoretical methods and practical schemes to describe and control nonequilibrium many-body quantum systems. With a combination open-quantum-systems, tensor networks and non-equilibrium Green’s functions NQTPS will develop methods to model nonequilibrium quantum systems with applications to quantum transport, weakly disturbing probes and Simulations. Specifically we aim to (1) Control transport between many-body systems designing small quantum rectifiers that operate at their interface. The rectifier is an asymmetrical and non-linear structure that breaks reciprocity. This novel development will be done beyond the main-stream phenomenological approach to dissipative systems which fails to give correct results specially in the presence of structured baths. (2) Extend scalable Matrix-Product-State techniques to model 1-D many-body open systems beyond the local Lindblad approach. Once a method capable of describing open-many-body-systems is stablished we will use it to characterize emergent transport (ballistic, diffusive, anomalous, insulating). (3) Design weak-coupling schemes to small probes for measuring fine features of complex quantum systems. We will propose probing of spacial and time correlations while leaving the many-body system almost unperturbed. (4) Model the dynamics of two-dimensional driven dissipative systems, focussing on adiabatic evolution subject to external noise. These models describe the fundamental structure on which companies are investing on for prototype quantum simulators and computers. We aim to address driven dissipative phase transitions and analyze their impact for adiabatic quantum simulation and quantum annealers. We will develop a tensor-network-oriented method for addressing the many-body case merging Tree-tensor-networks with the time dependent-variational-principle.