23 citations · 77 across the 9 of their papers we have counts for
9 papers
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…
Robustness of the Floquet many-body localized phase in the presence of a smooth and a non-smooth drive
Asaf A. Diringer, Tobias Gulden
In this work, we investigate how the critical driving amplitude at the Floquet MBL-to-ergodic phase transition differs between smooth and non-smooth driving over a wide range of dr…
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…
The Picard-Fuchs equation in classical and quantum physics: Application to higher-order WKB method
Michael Kreshchuk, Tobias Gulden
The Picard-Fuchs equation is a powerful mathematical tool which has numerous applications in physics, for it allows to evaluate integrals without resorting to direct integration te…
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…
A duality of the classical action yields a reflection symmetry of the quantum energy spectrum
Michael Kreshchuk, Tobias Gulden
The concept of duality reflects a link between two seemingly different physical objects. An example in quantum mechanics is a situation where the spectra (or their parts) of two Ha…
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…
Instanton calculus without equations of motion: semiclassics from monodromies of a Riemann surface
Tobias Gulden, Michael Janas, Alex Kamenev
Instanton calculations in semiclassical quantum mechanics rely on integration along trajectories which solve classical equations of motion. However in systems with higher dimension…
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…