Strongly-correlated phases in trapped-ion quantum simulators

Nevado Serrano, Pedro (2017) Strongly-correlated phases in trapped-ion quantum simulators. Doctoral thesis (PhD), University of Sussex.

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Abstract

We study quantum (T = 0) phases of strongly-correlated matter, and their possible
implementation in a quantum simulator. We focus on the non-perturbative regimes
of 1D spin-boson models. As a reference physical system we consider trapped-ion
chains.
We realize complex many-body states, such as a ground state exhibiting magnetic
frustration, a lattice gauge theory, and a topological insulator. The exquisite control
over these phases offered by a quantum simulator opens up exciting possibilities
for exploring the exotic phenomena emerging in these systems, such as enhanced
fluctuations and correlations.
We address the non-perturbative regimes of the phase diagrams by means of
mean-field theories and the numerical algorithm DMRG. We have established the
universality class of the continuous transition in the spin-boson chain, the existence
of a first order phase transition when the system is endowed with a gauge symmetry,
and the possibility of probing topological states of matter in these systems.
Our results show that some of the most exotic phases of quantum matter can
be readily realized in trapped-ion quantum simulators. This offers the possibility of
exploring these physical models beyond their original realm of applicability, which
may provide us with new insights on both theoretical and applied fields of physics,
ranging from high-energy processes to low-energy cooperative phenomena.

Item Type: Thesis (Doctoral)
Schools and Departments: School of Mathematical and Physical Sciences > Physics and Astronomy
Subjects: Q Science > QC Physics > QC0170 Atomic physics. Constitution and properties of matter Including molecular physics, relativity, quantum theory, and solid state physics
Depositing User: Library Cataloguing
Date Deposited: 06 Jun 2017 14:54
Last Modified: 06 Jun 2017 14:54
URI: http://sro.sussex.ac.uk/id/eprint/68380

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