Lower bound for ground state energy of BEC in a rotating optical lattice

TL;DR

This paper establishes a lower bound for the ground state energy of Bose-Einstein condensates in a rotating optical lattice by analyzing the eigenvalues of a frustrated adjacency matrix, providing a theoretical limit for the system's energy.

Contribution

It introduces a novel eigenvalue-based approach to determine the lower bound of ground state energy in BEC systems within rotating optical lattices.

Findings

Lower bound for ground state energy derived from maximum eigenvalue.

Eigenvector and eigenvalue formulation for frustrated XY model.

Theoretical framework applicable to rotating optical lattice systems.

Abstract

We use the frustrated XY model approximation of BEC in a rotating optical lattice and formulate the problem of the ground state in terms of eigenvectors and eigenvalues of frustrated adjacency matrix (coupling matrix). By using this formulation, we show that there is a lower bound for ground state energy in terms of maximum eigenvalue of this matrix.