arXiv subjects

Dmitry Kouznetsov

Publications and source records attributed to Dmitry Kouznetsov.

2 recordsLinked to original sources

arXiv2022

Sieve of Eratosthenes for Bose-Einstein Condensates in Optical Moir\'e Lattices

We catalog known optical moir\'e lattices and uncover exotic lattice configurations following a geometric analog of the ancient sieve of Eratosthenes algorithm for finding prime numbers. Rich dynamics of Bose-Einstein condensates loaded into these optical lattices is revealed from numerical simulations of time-of-flight interference patterns. What sets this method apart is the ability to tune the periodicity of the optical lattices without changing the wavelength of the laser, yet maintaining the local potential at the individual lattices sites. In addition, we discuss the ability to spatially translate the optical lattice through applying a structured phase only.

cond-mat.quant-gas↗

arXiv2020

Revival and Expansion of the Theory of Coherent Lattices

An effective way to design structured coherent wave interference patterns that builds on the theory of coherent lattices, is presented. The technique combines prime number factorization in the complex plane with moir\'e theory to provide a robust way to design structured patterns with variable spacing of intensity maxima. In addition, the proposed theoretical framework facilitates an elegant computation of previously unexplored high-order superlattices both for the periodic and quasiperiodic case. A number of beam configurations highlighting prime examples of patterns for lattices with three-, four-, and fivefold symmetry are verified in a multibeam interference experiment.

nlin.PS↗