643 citations · 6.1k across the 133 of their papers we have counts for
18 papers · 1 filter
Population Dynamics of Schrödinger Cats
Foster Thompson, Alex Kamenev
We demonstrate an exact equivalence between classical population dynamics and Lindbladian evolution admitting a dark state and obeying a set of certain local symmetries. We then in…
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…
Finite Size Scaling at the Topological Transition: Bilinear-Biquadratic Spin-1 Chain
Yuting Wang, Hao Zhang, Alex Kamenev
We consider a finite size scaling function across a topological phase transition in 1D models. For models of non-interacting fermions it was shown to be universal for all topologic…
Landau theory of the short-time dynamical phase transitions of the Kardar-Parisi-Zhang interface
Naftali R. Smith, Alex Kamenev, Baruch Meerson
We study the short-time distribution of the two-point two-time height difference of a stationary Kardar-Parisi-Zhang (KPZ) interfa…
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…
Dynamical phase transition in large deviation statistics of the Kardar-Parisi-Zhang equation
Michael Janas, Alex Kamenev, Baruch Meerson
We study the short-time behavior of the probability distribution of the surface height in the Kardar-Parisi-Zhang (KPZ) equation in dimension.…
Short-time height distribution in 1d KPZ equation: starting from a parabola
Alex Kamenev, Baruch Meerson, Pavel V. Sasorov
We study the probability distribution of the surface height in the Kardar-Parisi-Zhang (KPZ) equation in dimension when starting from a para…
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…
Noise induced stabilization in population dynamics
Matthew Parker, Alex Kamenev, Baruch Meerson
We investigate a model where strong noise in a sub-population creates a metastable state in an otherwise unstable two-population system. The induced metastable state is vortex-like…
Switching rates of multi-step reactions
Carlos Escudero, Alex Kamenev
We consider a switching rate of a meta-stable reaction scheme, which includes reactions with arbitrary steps, e.g. . Employing WKB approximation, controlled by a large…
Bloch oscillations in one-dimensional spinor gas
D. M. Gangardt, A. Kamenev
A force applied to a spin-flipped particle in a one-dimensional spinor gas may lead to Bloch oscillations of particle's position and velocity. The existence of Bloch oscillations c…
Population extinction in a time-modulated environment
Michael Assaf, Alex Kamenev, Baruch Meerson
The extinction time of an isolated population can be exponentially reduced by a periodic modulation of its environment. We investigate this effect using, as an example, a stochasti…
Extinction of an infectious disease: a large fluctuation in a non-equilibrium system
Alex Kamenev, Baruch Meerson
We develop a theory of first passage processes in stochastic non-equilibrium systems of birth-death type using two closely related epidemiological models as examples. Our method em…
Dynamics of excitations in a one-dimensional Bose liquid
M. Khodas, M. Pustilnik, A. Kamenev +1
We show that the dynamic structure factor of a one-dimensional Bose liquid has a power-law singularity defining the main mode of collective excitations. Using the Lieb-Liniger mode…
Towards Classification of Phase Transitions in Reaction--Diffusion Models
Vlad Elgart, Alex Kamenev
Equilibrium phase transitions are associated with rearrangements of minima of a (Lagrangian) potential. Treatment of non-equilibrium systems requires doubling of degrees of freedom…
Transport in one dimensional Coulomb gases: From ion channels to nanopores
A. Kamenev, J. Zhang, A. I. Larkin +1
We consider a class of systems where, due to the large mismatch of dielectric constants, the Coulomb interaction is approximately one-dimensional. Examples include ion channels in…
Rare Events Statistics in Reaction--Diffusion Systems
Vlad Elgart, Alex Kamenev
We develop an efficient method to calculate probabilities of large deviations from the typical behavior (rare events) in reaction--diffusion systems. The method is based on a semic…