Conveners
W1-8 Condensed Matter Theory I (DCMMP/DTP) | Théorie de la matière condensée I (DPMCM/DPT)
- Olivia Di Matteo (The University of British Columbia)
The characterization of integrability and chaos in quantum mechanics is a long-standing open problem. Entanglement is a strong candidate for this characterization but exactly how remains debatable. The average entanglement entropy (EE) of the energy eigenstates in non-vanishing partitions has been recently proposed as a diagnostic of integrability in quantum many-body systems. For it to be a...
Fidelity susceptibility is a physical quantity that can be used to study quantum phase transitions in a variety of condensed matter models. The closed-form expression of this quantity requires knowledge of the energy spectrum of a Hamiltonian; however it has been previously shown that it can also be computed from second-order derivatives of overlaps involving the ground state wave function. We...
We introduce the theory of hyperbolic matter, a novel paradigm for topological states made from particles moving in the infinite two-dimensional hyperbolic plane. Negative curvature of space is emulated through a hyperbolic lattice. Utilizing topoelectric circuit networks relying on a newly developed complex-phase circuit element, we experimentally realize hyperbolic graphene as an example of...
Matrix product state methods are known to be efficient for computing ground states of local, gapped Hamiltonians, particularly in one dimension. We introduce the multi-targeted method that acts on a bundled matrix product state, holding many excitations. The use of a block or banded Lanczos algorithm allows for the simultaneous, variational optimization of the bundle of excitations. The...
We investigate early-time equilibration rates of observables in closed many-body quantum systems
and compare them to those of two correlation functions, first introduced by Kubo and Srednicki.
We explore whether these different rates coincide at a universal value that sets the timescales
of processes at a finite energy density. We find evidence for this coincidence when the...
Electron-driven lattice rearrangements commonly exist in phenomena such as electron/hole transfer, defect ionization, photoexcitation, and polaron formation. These phenomena are manifested in a variety of important technologies employing energy harvesting and conversion materials. Hence, lattice equilibration processes at the atomic scale need to be more deeply understood in order to tailor...
