Tensor Network Methods for the Driven-Dissipative Dynamics of Polariton Lattice Quantum Simulators

Lead Research Organisation: University College London
Department Name: London Centre for Nanotechnology


Light matter based quantum simulation platforms such as polariton lattices and circuit QED systems have recently shown the ability to support stong many-body quantum correlations. Here, the strong correlations between light-matter particles lead to highly non-classical phenomena such as photon blockade, superfluid to Mott insulator phase transitions and non-linear topological physics. Numerical methods to understand these systems in one- and two- dimensions have mostly been restricted to mean field theories which are expected to break down in the limit of strong correlations. In this work, new methods based on tensor networks are developed to simulate driven dissipative many-body systems in the strongly correlated regime. These methods are based on matrix products states (MPS) for one-dimensional systems and projected entangled pair states (PEPS) for two-dimensional systems. It is expected that these new techniques will offer valuable insight into the dynamics of strongly correlated light-matter systems.


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Studentship Projects

Project Reference Relationship Related To Start End Student Name
EP/P510270/1 01/04/2016 31/03/2021
1781320 Studentship EP/P510270/1 26/09/2016 30/09/2020 Conor Mc Keever
Description I have developed a new numerical technique based on tensor networks to simulate out-of-equilibrium and steady state dynamics of two-dimensional quantum lattice models.
Exploitation Route The algorithm and the techniques used therein can be adapted to be used in different contexts, different models and and in higher dimensions.
Sectors Digital/Communication/Information Technologies (including Software),Electronics,Energy,Pharmaceuticals and Medical Biotechnology

Title Steady State Tensor Network Algorithm - Two Dimensional Systems 
Description This is a new technique for solving two dimensional quantum lattice models in an out-of-equilibrium setting. 
Type Of Technology New/Improved Technique/Technology 
Year Produced 2018 
Description Public engagement video 
Form Of Engagement Activity A broadcast e.g. TV/radio/film/podcast (other than news/press)
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Public/other audiences
Results and Impact I took part in a public engagement video which details the ongoing research in our group . This video is hosted on our group website and reaches an international audience. We think the video has led to an increased interest from potential summer students.
Year(s) Of Engagement Activity 2018
URL https://qlm-ucl.org/