Understanding Quantum Non-Equilibrium Matter: Many-Body Localisation versus Glasses, Theory and Experiment
Lead Research Organisation:
University of Cambridge
Department Name: Physics
Abstract
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Publications
Gottlob E
(2023)
Hubbard models for quasicrystalline potentials
in Physical Review B
Gottlob E
(2022)
Hubbard Models for Quasicrystalline Potentials
Hayward A
(2021)
Effect of disorder on topological charge pumping in the Rice-Mele model
in Physical Review A
Marcantoni S
(2022)
Anderson and many-body localization in the presence of spatially correlated classical noise
in Physical Review B
Nixon G
(2024)
Individually tunable tunnelling coefficients in optical lattices using local periodic driving
in Quantum Science and Technology
Sbroscia M
(2020)
Observing localisation in a 2D quasicrystalline optical lattice
Sbroscia M
(2020)
Observing Localization in a 2D Quasicrystalline Optical Lattice.
in Physical review letters
| Description | During the first half of this award, the experimental platforms have been developed and characterized, both experimental and numerical. The first major result is the demonstration of localization in a quasi-crystalline optical lattice. A second main outcome is the first experimental realization of a first-order quantum phase transition in a strongly-correlated system and the associated quantum metastability. In the 2nd part of this award we have now used the developed lattice to realize and study the Bose glass phase and to establish its non-ergodic properties and are now studying extensions to strongly-correlated systems and connections to other sources of slow, glassy dynamics. |
| Exploitation Route | As discussed in Pathways to Impact. |
| Sectors | Digital/Communication/Information Technologies (including Software) Other |
| URL | https://www.phy.cam.ac.uk/news/towards-quantum-simulation-false-vacuum-decay |
| Title | Hubbard Hamiltonian for the 8fold Optical Quasicrystal |
| Description | This dataset contains all the relevant Wannier functions and associated onsite energies, tunneling amplitudes and interaction energies describing a finite patch (1622 lattice sites) of the eightfold optical quasicrystal. The Wannier functions have been constructed using the method developped in [1]. If you wish to use results produced with this dataset in a scientific publication, please cite: [1] E. Gottlob and U. Schneider, Hubbard models for quasicrystalline potentials, Phys. Rev. B 107, 144202. |
| Type Of Material | Database/Collection of data |
| Year Produced | 2023 |
| Provided To Others? | Yes |
| URL | https://www.repository.cam.ac.uk/handle/1810/348940 |
| Title | Research Data supporting "Large-Scale Tight-Binding Hamiltonians of the Eightfold Quasicrystalline Potential (8QC)" |
| Description | This dataset contains the Tight-binding (TB) Hamiltonians describing the lowest band of the eightfold quasicrystalline potential. The TB Hamiltonians were constructed using localised Wannier functions generated using an extension of the methods described in [1], whereby the finite-difference methods was replaced with the sinc discrete variable representation to alleviate the memory usage of the Wannier functions and increase the maximum system size to around 12000 sites. The TB Hamiltonians describe a circular patch of diameter 70 ?. The lattice depths were generated in steps of 0.125 Er. The parameters used for this dataset were a real-space grid spacing dx = 0.1?, and a cutoff radius for generating the Wannier functions of R = 4?. Please refer to Readme file for more details of file collection and organisation. [1] E. Gottlob and U. Schneider, Hubbard models for quasicrystalline potentials, Phys. Rev. B 107, 144202. |
| Type Of Material | Database/Collection of data |
| Year Produced | 2024 |
| Provided To Others? | Yes |
| URL | https://www.repository.cam.ac.uk/handle/1810/373617 |
| Title | Research data supporting ''Realizing discontinuous quantum phase transitions in a strongly-correlated driven optical lattice'' |
| Description | Hierarchical Data Format version 5 (HDF5) file contains both experimental and simulation data underlying the figures in the paper. HDF5 file contains experimental data of the Mott insulator and the p-superfluid, phase diagrams, dynamics of phase transitions and corresponding theoretical simulations. Additional information is available in the 'README' file, and see the paper for more details. Contact details: uws20@cam.ac.uk. |
| Type Of Material | Database/Collection of data |
| Year Produced | 2022 |
| Provided To Others? | Yes |
| URL | https://www.repository.cam.ac.uk/handle/1810/333992 |
| Description | Universtaet Goettingen |
| Organisation | University of Göttingen |
| Country | Germany |
| Sector | Academic/University |
| PI Contribution | Collaboration on studies of interacting charge pumps. Our team provided insights into disordered and quasiperiodic systems. |
| Collaborator Contribution | Collaboration partner provided many-body, topological, and numerical expertise. |
| Impact | See publications. |
| Start Year | 2021 |
| Title | Code supporting "Quasiperiodicity protects quantized transport in disordered systems without gaps" |
| Description | ## Thouless Pump Simulation with Local Uniform Bounded Disorder This Python package simulates the Thouless pump of the Aubry-André model in the presence of local uniform bounded disorder. The simulation supports both single-particle and many-body initial states of non-interacting particles. ### Features - Simulation of Thouless pumping with configurable parameters - Support for local uniform bounded disorder - Parallel computation capabilities for multiple disorder strengths ### Requirements - Python 3.x - NumPy - SciPy - Matplotlib - joblib (for parallel processing) ### Usage Run the simulation using command line arguments: ``` python thouless_pump.py ``` Arguments: - `log_pumping_rate`: Logarithm of the pumping rate - `potential_strength`: Strength of the potential (V) Example: ``` python thouless_pump.py -2 1.0 ``` #### Key Functions - `generate_hamiltonian()`: Generates the Hamiltonian matrix for the Aubry-André model - `compute_pumping()`: Computes the pumping dynamics for given parameters - `plot_time_evolution()`: Visualizes the time evolution of the system - `run_simulations()`: Handles parallel execution of multiple simulations - `plot_final_profile()`: Creates visualizations of the final density profiles #### Output Results are saved in a directory structure organized by simulation parameters. ### Parameters Key configurable parameters include: - `beta`: Incommensurate parameter - `V`: Potential strength - `J`: Hopping amplitude - `phi_0`: Initial phase of the quasiperiodic modulation - `phi_end`: Final phase of the quasiperiodic modulation - `n_sites`: Number of lattice sites - `noise_amp_list`: Range of disorder strengths to simulate ### Author Emmanuel Gottlob Contact: emm.gottlob@gmail.com |
| Type Of Technology | Software |
| Year Produced | 2025 |
| Open Source License? | Yes |
| URL | https://www.repository.cam.ac.uk/handle/1810/378251 |
| Description | Cambridge Festival 2023 |
| Form Of Engagement Activity | A talk or presentation |
| Part Of Official Scheme? | No |
| Geographic Reach | Regional |
| Primary Audience | Public/other audiences |
| Results and Impact | Broadly 150 members of general public attended evening lecture and discussion on "The universe in an atom: atoms as quantum sensors for fundamental physics" as part of the Cambridge Festival. |
| Year(s) Of Engagement Activity | 2023 |
| URL | https://www.eventbrite.co.uk/e/the-universe-in-an-atom-atoms-as-quantum-sensors-for-fundamental-phys... |
| Description | Outreach Activities |
| Form Of Engagement Activity | A talk or presentation |
| Part Of Official Scheme? | No |
| Geographic Reach | National |
| Primary Audience | Public/other audiences |
| Results and Impact | General outreach - informing general public about chances and limitations of quantum technologies, in particular quantum information and quantum computing |
| Year(s) Of Engagement Activity | 2018,2019,2020,2021,2022 |
| Description | Physics at Work |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | National |
| Primary Audience | Schools |
| Results and Impact | Physics at Work aims to show 14-16yr olds the variety of careers to which study in Physics can lead and the range of practical problems that physics can be used to solve. This event is open to all schools and is free (there is a £10 per group refundable deposit). The exhibition is run in a similar way each year, based upon interaction between active scientific researchers and students. This will help to inform and spread the excitement of modern physics research to students who will soon be making career and examination choices, and is a vital component in encouraging the next generation of scientists. The Physics at Work Exhibition runs over three days, with two sessions on each day. This event is centred around approximately 25 exhibitors and is held at the Cavendish Laboratory in Cambridge. Some of the exhibitors are from research groups within the Cavendish Laboratory and the others are from industry, including companies such as Rolls-Royce Plc., Domino Printing Services and the AWE. Each half-day session typically has a capacity for about 450 students. The students are split into small groups of around 15 and are accompanied by a teacher as they follow a route defined by the organisers. Each small group, with its teacher, visits six exhibits over a period of about three hours, including a short break halfway through. Each exhibit usually consists of a short presentation, practical demonstrations, an opportunity for hands-on involvement and time for asking questions. A booklet of information is provided to support the exhibition, allowing teachers to bring ideas back into their lessons later in the year. This structured approach has developed over time and allows the students to engage thoroughly with the science on display. |
| Year(s) Of Engagement Activity | 2022,2023 |
| URL | https://outreach.phy.cam.ac.uk/programme/physicsatwork |
| Description | UK Quantum showcase |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | International |
| Primary Audience | Industry/Business |
| Results and Impact | UK national Quantum showcase |
| Year(s) Of Engagement Activity | 2021,2022,2023 |
| URL | https://iuk.ktn-uk.org/events/uk-national-quantum-technologies-showcase-2023/ |
| Description | UK/Austria Quantum Exchange |
| Form Of Engagement Activity | A formal working group, expert panel or dialogue |
| Part Of Official Scheme? | No |
| Geographic Reach | International |
| Primary Audience | Third sector organisations |
| Results and Impact | UK/Austria Quantum Exchange, organized by British Embassy Vienna, UK Science and Innovation Network (UK SIN). quantum exchange early March (4/5 March) with the quantum research, start-up and tech community in Austria - specifically with the quantum community in Innsbruck (with innovative research in quantum computing, quantum optics and information and a strong and growing quantum start-up and university spin-off scene) The idea is to bring the quantum research communities and leading labs both in the area of quantum computing / quantum optics in the UK and in Innsbruck together to build new and strengthen existing academic networks and connections as basis for future broader collaboration between the UK and Austria (Innsbruck). |
| Year(s) Of Engagement Activity | 2024 |