Experimental simulation of solid-state phenomena using photonic lattices
The propagation of light waves across a periodic array of evanescently coupled optical waveguides can be described by a Schr¨odinger-like equation for a particle in a periodic potential. This mapping allows us to investigate the dynamics of electrons in a crystalline solid using an artificial crysta...
Main Author: | |
---|---|
Other Authors: | |
Published: |
Heriot-Watt University
2016
|
Subjects: | |
Online Access: | http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.712754 |
id |
ndltd-bl.uk-oai-ethos.bl.uk-712754 |
---|---|
record_format |
oai_dc |
spelling |
ndltd-bl.uk-oai-ethos.bl.uk-7127542018-08-21T03:28:52ZExperimental simulation of solid-state phenomena using photonic latticesMukherjee, SebabrataThomson, Robert R.2016The propagation of light waves across a periodic array of evanescently coupled optical waveguides can be described by a Schr¨odinger-like equation for a particle in a periodic potential. This mapping allows us to investigate the dynamics of electrons in a crystalline solid using an artificial crystal of optical waveguides, known as a photonic lattice. The unique capabilities of ultrafast laser inscription enable us to design, fabricate and precisely control various properties of a photonic lattice. Here, we focus on the experimental construction of the Hamiltonians associated with various complex quantum systems using engineered photonic lattices, and then measure the time evolution of a given input state. In this photonic platform, we experimentally observe various single particle effects known from solid-state physics, such as the localised states associated with flat-band lattice geometries, localised Wannier-Stark states, photon-assisted tunnelling and the anomalous topological edge modes in slowly-driven lattices. Specific phenomena associated with particle interactions, such as the dynamics of two interacting particles in a one-dimensional lattice with static and sinusoidally driven Hubbard Hamiltonian, is also investigated. The experimental results presented here will be of interest to a large community, including physicists working on photonics, quantum optics, cold atomic gases, and condensed-matter physics.621.36Heriot-Watt Universityhttp://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.712754http://hdl.handle.net/10399/3182Electronic Thesis or Dissertation |
collection |
NDLTD |
sources |
NDLTD |
topic |
621.36 |
spellingShingle |
621.36 Mukherjee, Sebabrata Experimental simulation of solid-state phenomena using photonic lattices |
description |
The propagation of light waves across a periodic array of evanescently coupled optical waveguides can be described by a Schr¨odinger-like equation for a particle in a periodic potential. This mapping allows us to investigate the dynamics of electrons in a crystalline solid using an artificial crystal of optical waveguides, known as a photonic lattice. The unique capabilities of ultrafast laser inscription enable us to design, fabricate and precisely control various properties of a photonic lattice. Here, we focus on the experimental construction of the Hamiltonians associated with various complex quantum systems using engineered photonic lattices, and then measure the time evolution of a given input state. In this photonic platform, we experimentally observe various single particle effects known from solid-state physics, such as the localised states associated with flat-band lattice geometries, localised Wannier-Stark states, photon-assisted tunnelling and the anomalous topological edge modes in slowly-driven lattices. Specific phenomena associated with particle interactions, such as the dynamics of two interacting particles in a one-dimensional lattice with static and sinusoidally driven Hubbard Hamiltonian, is also investigated. The experimental results presented here will be of interest to a large community, including physicists working on photonics, quantum optics, cold atomic gases, and condensed-matter physics. |
author2 |
Thomson, Robert R. |
author_facet |
Thomson, Robert R. Mukherjee, Sebabrata |
author |
Mukherjee, Sebabrata |
author_sort |
Mukherjee, Sebabrata |
title |
Experimental simulation of solid-state phenomena using photonic lattices |
title_short |
Experimental simulation of solid-state phenomena using photonic lattices |
title_full |
Experimental simulation of solid-state phenomena using photonic lattices |
title_fullStr |
Experimental simulation of solid-state phenomena using photonic lattices |
title_full_unstemmed |
Experimental simulation of solid-state phenomena using photonic lattices |
title_sort |
experimental simulation of solid-state phenomena using photonic lattices |
publisher |
Heriot-Watt University |
publishDate |
2016 |
url |
http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.712754 |
work_keys_str_mv |
AT mukherjeesebabrata experimentalsimulationofsolidstatephenomenausingphotoniclattices |
_version_ |
1718726170542866432 |