22 citations · 128 across the 21 of their papers we have counts for
21 papers
Competing Bosonic Reactions: Insight from Exactly Solvable Time-Dependent Models
Fumika Suzuki, Rajesh K. Malla, Nikolai A. Sinitsyn
We discuss the progress on exactly solvable multistate Landau-Zener models from a perspective of their application to competing reactions of particle creation from a false vacuum.…
Quantum dynamics of non-Hermitian many-body Landau-Zener systems
Rajesh K. Malla, Julia Cen, Wilton J. M. Kort-Kamp +1
We develop a framework to solve a large class of linearly driven non-Hermitian quantum systems. Such a class of models in the Hermitian scenario is commonly known as multi-state La…
Ultrafast Nonequilibrium Dynamics in Two-dimensional Quantum Spin-Hall Materials
Rajesh K. Malla, Dasol Kim, Dong Eon Kim +2
We develop the theoretical framework of nonequilibrium ultrafast photonics in monolayer quantum spin-Hall insulators supporting a multitude of topological states. In these material…
Landau-Zener transition between two levels coupled to continuum
Rajesh K. Malla, M. E. Raikh
For a Landau-Zener transition in a two-level system, the probability for a particle, initially in the first level, {\em i}, to survive the transition and to remain in the first lev…
Effect of decay of the final states on the probabilities of the Landau-Zener transitions in multistate non-integrable models
Rajesh K. Malla, M. E. Raikh
For a Landau-Zener transition in a two-level system, the probability for a particle, initially in the first level, to survive the transition and to remain in the first level, does…
Nonadiabatic dissociation of molecular Bose-Einstein condensates: competition between chemical reactions
Rajesh K. Malla
We provide a framework to solve generic models describing the dissociation of multiple molecular Bose-Einstein condensates in a nonadiabatic regime. The competition between individ…
Coherent reaction between molecular and atomic Bose-Einstein condensates: integrable model
Rajesh K. Malla, Vladimir Y. Chernyak, Chen Sun +1
We solve a model that describes a stimulated conversion between ultracold bosonic atoms and molecules. The reaction is triggered by a linearly time-dependent transition throughout…
Emerging nonlinear Hall effect in Kane-Mele two-dimensional topological insulators
Rajesh K. Malla, Avadh Saxena, Wilton J. M. Kort-Kamp
The recent observations of nonlinear Hall effect in time-reversal symmetry protected systems and on the surface of three-dimensional topological insulators due to an in-plane magne…
Nonlinear dynamics of topological Dirac fermions in 2D spin-orbit coupled materials
Rajesh K. Malla, Wilton J. M. Kort-Kamp
The graphene family materials are two-dimensional staggered monolayers with a gapped energy band structure due to intrinsic spin-orbit coupling. The mass gaps in these materials ca…
Nonadiabatic transitions in Landau-Zener grids: integrability and semiclassical theory
Rajesh K. Malla, Vladimir Y. Chernyak, Nikolai A. Sinitsyn
We demonstrate that the general model of a linearly time-dependent crossing of two energy bands is integrable. Namely, the Hamiltonian of this model has a quadratically time-depend…
High Landau levels of 2D electrons near the topological transition caused by interplay of spin-orbit and Zeeman energy shifts
Rajesh K. Malla, M. E. Raikh
In the presence of spin-orbit coupling two branches of the energy spectrum of 2D electrons get shifted in the momentum space. Application of in-plane magnetic field causes the spli…
Interaction-induced long-time tail of a nonlinear ac absorption in a localized system: a relay-race mechanism
Rajesh K. Malla, M. E. Raikh
In conventional solid-state electron systems with localized states the ac absorption is linear since the inelastic widths of the energy levels exceeds the drive amplitude. The situ…
Shape of the zeroth Landau level in graphene with non-diagonal disorder
Rajesh K. Malla, M. E. Raikh
Non-diagonal (bond) disorder in graphene broadens Landau levels (LLs) in the same way as random potential. The exception is the zeroth LL, , which is robust to the bond disord…
Effective tunnel conductance and effective ac conductivity of randomly strained graphene
Rajesh K. Malla, M. E. Raikh
We consider a single-layer graphene with high ripples, so that the pseudo-magnetic fields due to these ripples are strong. If the magnetic length corresponding to a typical pseudo-…
Resonant reflection of interacting electrons from an impurity in a quantum wire: interplay of Zeeman and spin-orbit effects
Rajesh K. Malla, M. E. Raikh
A single-channel quantum wire with two well-separated Zeeman subbands and in the presence of a weak spin-orbit coupling is considered. An impurity level which is split off the uppe…
Spinful Aubry-Andre model in a magnetic field: Delocalization facilitated by a weak spin-orbit coupling
Rajesh. K. Malla, M. E. Raikh
We have incorporated spin-orbit coupling into the Aubry-Andre model of tight-binding electron motion in the presence of periodic potential with a period incommensurate with lattice…
Phase diagram for the Harper model of the honeycomb lattice
Geo Jose, Rajesh Malla, Varadharajan Srinivasan +2
The Harper equation arising out of a tight-binding model of electrons on a honeycomb lattice subject to a uniform magnetic field perpendicular to the plane is studied. Contrasting…
Landau-Zener transition in a two-level system coupled to a single highly-excited oscillator
Rajesh K. Malla, M. E. Raikh
Two-level system strongly coupled to a single resonator mode (harmonic oscillator) is a paradigmatic model in many subfields of physics. We study theoretically the Landau-Zener tra…
Loss of adiabaticity with increasing tunneling gap in non-integrable multistate Landau-Zener models
Rajesh K. Malla, M. E. Raikh
We consider the simplest non-integrable model of multistate Landau-Zener transition. In this model two pairs of levels in two tunnel coupled quantum dots are swept passed each othe…
Suppression of the Landau-Zener transition probability by a weak classical noise
Rajesh K. Malla, E. G. Mishchenko, M. E. Raikh
When the drive which causes the level crossing in a qubit is slow, the probability, P_{LZ}, of the Landau-Zener transition is close to 1. We show that in this regime, which is most…
Spin dynamics and spin-dependent recombination of a polaron pair under a strong ac drive
R. K. Malla, M. E. Raikh
We study theoretically the recombination within a pair of two polarons in magnetic field subject to a strong linearly polarized ac drive. Strong drive implies that the Zeeman frequ…