Date of Completion
2014
Thesis Type
College of Arts and Science Honors
Department
Physics
First Advisor
Christopher Herdman
Second Advisor
Adrian Del Maestro
Keywords
Entanglement, Lieb-Liniger Model, Bosons, Entropy, Exact Diagonalization, Ising Model, Second Quantization, Condensate
Abstract
Experiments and simulations in confined liquid helium-4 (He-4) systems have shown quasi-one-dimensional behavior consistent with quantum phases of 1D bosons. In these experiments, confined He-4 becomes strongly correlated, and can be described by the linear quantum hydrodynamics known as Luttinger liquid theory, which also predicts a novel state of matter in 1D. Furthermore, 1D systems at near-zero temperature are highly entangled, and can offer insight into the use of entanglement as a resource for quantum information processing applications. In this research, I study 1D bosons with short-ranged interactions, described by the Lieb-Liniger model, by exactly diagonalizing the Hamiltonian to calculate physically important quantities, including the entanglement entropy that are inaccessible by any other means.
Recommended Citation
Allman, Daniel Gordon, "Mode Entanglement in the Lieb-Liniger Model" (2014). UVM College of Arts and Sciences College Honors Theses. 1.
https://scholarworks.uvm.edu/castheses/1