23 citations · 77 across the 9 of their papers we have counts for
5 papers · 1 filter
Dynamics of ion channels via non-Hermitian quantum mechanics
Tobias Gulden, Alex Kamenev
We study dynamics and thermodynamics of ion channels, considered as effective 1D Coulomb systems. The long range nature of the inter-ion interactions comes about due to the dielect…
Exponentially long lifetime of universal quasi-steady states in topological Floquet pumps
Tobias Gulden, Erez Berg, Mark S. Rudner +1
We investigate a mechanism to transiently stabilize topological phenomena in long-lived quasi-steady states of isolated quantum many-body systems driven at low frequencies. We obta…
Finite Size Scaling of Topological Entanglement Entropy
Yuting Wang, Tobias Gulden, Alex Kamenev
We consider scaling of the entanglement entropy across a topological quantum phase transition in one dimension. The change of the topology manifests itself in a sub-leading term, w…
Universal Finite-Size Scaling around Topological Quantum Phase Transitions
Tobias Gulden, Michael Janas, Yuting Wang +1
The critical point of a topological phase transition is described by a conformal field theory, where finite-size corrections to energy are uniquely related to its central charge. W…
Statistical mechanics of Coulomb gases as quantum theory on Riemann surfaces
Tobias Gulden, Michael Janas, Peter Koroteev +1
Statistical mechanics of 1D multivalent Coulomb gas may be mapped onto non-Hermitian quantum mechanics. We use this example to develop instanton calculus on Riemann surfaces. Borro…