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#quantumsimulation

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QUINTO project

Quantum simulation of topological orders

In the previous posts, I was talking a lot about complex quantum states that we aim to study in the QUINTO project: topological orders, in particular spin liquids. Now, let us see how quantum optics can help us in this endeavour.

Topological orders can be hard to find. Not all of them – one particular class, “fractional quantum Hall states”, can be created in the lab by applying very strong magnetic field to electrons confined in two dimensions. But others, such as spin liquids, remain elusive, even though scientists proposed some materials in which spin liquids might occur.

Moreover, with solid-state materials, we don’t usually have enough control to manipulate individual anyons as precisely as we would want (even though impressive experiments were performed with tiny anyon colliders and anyon interferometers in the quantum Hall systems).

An alternative is to assemble a quantum system – a “quantum simulator” from scratch, piece by piece, precisely controlling its parameters. For example, it is possible to “catch” a single atom with a laser beam – a so-called “optical tweezer”. The radiation pressure of the beam “traps” the atom in the point where the light is strongest, i.e. where the beam is focused. Such atoms can then be arranged in arrays resembling crystals.

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#TopologicalOrder #Physics #Science #Quantum #QuantumSimulation #QuantumPhysics #QuantumOptics

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Dr. P. M. Secular

Interested in #QuantumMechanics, #QuantumSimulation, or #TensorNetworks? Well, check out my #PhD thesis:

"Parallel Tensor Network Methods for Quantum Lattice Systems: Matrix Product State Simulations on a Supercomputer"

Available to download from my personal website: secular.me.uk/

Because of the growing multidisciplinary interest in tensor networks, I've tried to make the #thesis as self-contained as possible. I am hoping it will be useful for #Physics, #Chemistry, #Mathematics, and #ComputerScience graduates meeting tensor networks for the first time. It features 700+ references, 100+ figures, 15 epigraphs, and a list of eponyms!

www.secular.me.ukP. M. SecularThe personal website of P. M. Secular including his research on tensor networks, quantum mechanics, and physics education.
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Dr. P. M. Secular

Independent verification of results is an important part of the #scientific process. However - in #physics at least - #replication and #verification studies rarely seem to be published. Despite this, I decided to attempt to verify the results of a groundbreaking Nature Physics paper from 2012, in which the authors describe the first dynamical #quantum #simulator. You can read the fruits of my labour in my #arxiv preprint: "Classical verification of a quantum simulator: local relaxation of a 1D Bose gas". I hope you find it interesting.

scirate.com/arxiv/2401.05301

SciRateClassical verification of a quantum simulator: local relaxation of a 1D Bose gasIn [Nat. Phys. 8, 325-330 (2012)], Trotzky et al. utilize ultracold atoms in an optical lattice to simulate the local relaxation dynamics of a strongly interacting Bose gas "for longer times than present classical algorithms can keep track of". Here, I classically verify the results of this analog quantum simulator by calculating the evolution of the same quasi-local observables up to the time at which they appear "fully relaxed". Using a parallel implementation of the time-evolving block decimation (TEBD) algorithm to simulate the system on a supercomputer, I show that local densities and currents can be calculated in a matter of days rather than weeks. The precision of these numerics allows me to observe deviations from the conjectured power-law decay and to determine the effects of the harmonic trapping potential. As well as providing a robust benchmark for future experimental, theoretical, and numerical methods, this work serves as an example of the independent verification process.
#ScientificProcess#QuantumSimulator#QuantumSimulation
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