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TwoCompQuaGas SIGNED

Dynamics of two-component quantum gases

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EC-Contrib. €

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Project "TwoCompQuaGas" data sheet

The following table provides information about the project.

Coordinator
UNIVERSITEIT VAN AMSTERDAM 

Organization address
address: SPUI 21
city: AMSTERDAM
postcode: 1012WX
website: www.uva.nl

contact info
title: n.a.
name: n.a.
surname: n.a.
function: n.a.
email: n.a.
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 Coordinator Country Netherlands [NL]
 Project website https://neiljrobinson.com/research/
 Total cost 165˙598 €
 EC max contribution 165˙598 € (100%)
 Programme 1. H2020-EU.1.3.2. (Nurturing excellence by means of cross-border and cross-sector mobility)
 Code Call H2020-MSCA-IF-2016
 Funding Scheme MSCA-IF-EF-RI
 Starting year 2017
 Duration (year-month-day) from 2017-10-01   to  2019-09-30

 Partnership

Take a look of project's partnership.

# participants  country  role  EC contrib. [€] 
1    UNIVERSITEIT VAN AMSTERDAM NL (AMSTERDAM) coordinator 165˙598.00

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 Project objective

The computation of dynamical properties (both equilibrium and non-equilibrium) of interacting quantum systems is one of the foremost challenges in contemporary condensed matter theory. Such computations can describe experiments in cold atomic gases, as well as a diverse range of probes in solid-state systems (e.g., inelastic neutron scattering, ARPES, RIXS). The aim of this proposal is to develop a theoretical framework for the study of dynamical properties of two-component quantum gases (TCQGs), systems that are both ubiquitous and under active experimental investigation. This objective will be achieved in four major steps.

1. Development of a non-perturbative computational algorithm for integrable TCQGs. Exact results from integrability will be combined with efficient numerical routines to evaluate correlation functions. This will enable the study of large systems, beyond the reach of existing techniques.

2. The algorithm will be used to study equilibrium dynamics (spectral functions and dynamical structure factors); results will be compared to predictions from field theory techniques, such as the non-linear Luttinger liquid, and links made to experiments. Analytical study of the attractive gas will examine the role of multiple species of bound states.

3. The non-equilibrium dynamics of TCQGs following a quantum quench will be studied. Numerical results will be combined with analytical insights from the Quench Action framework. Scenarios with no analog in a single-component gas will be accessible, opening a door to new and interesting experimentally accessible physics.

4. A numerical framework to treat non-integrable TCQGs will be developed. Using eigenstates of a proximate integrable point as a computational basis, well-tested numerical techniques such as the truncated conformal space approach and the Chebyshev expansion will perform time-evolution with non-integrable Hamiltonians, enabling direct links to on-going experiments in cold atomic gases.

 Publications

year authors and title journal last update
List of publications.
2019 Neil J Robinson, Peter D Johnson, T Maurice Rice, Alexei M Tsvelik
Anomalies in the pseudogap phase of the cuprates: competing ground states and the role of umklapp scattering
published pages: 126501, ISSN: 0034-4885, DOI: 10.1088/1361-6633/ab31ed
Reports on Progress in Physics 82/12 2019-12-16
2019 Neil J. Robinson, Jean-Sébastien Caux, Robert M. Konik
Light cone dynamics in excitonic states of two-component Bose and Fermi gases
published pages: in print, ISSN: 1742-5468, DOI:
Journal of Statistical Mechanics: Theory and Experiment 2019-12-16
2019 Andrew J. A. James, Robert M. Konik, Neil J. Robinson
Nonthermal States Arising from Confinement in One and Two Dimensions
published pages: 130603, ISSN: 0031-9007, DOI: 10.1103/PhysRevLett.122.130603
Physical Review Letters 122/13 2019-12-16
2018 Neil Robinson
Cold Atoms Bear a Quantum Scar
published pages: 105, ISSN: 1943-2879, DOI: 10.1103/physics.11.105
Physics 11 2019-12-16
2019 Neil J. Robinson, Andrew J. A. James, Robert M. Konik
Signatures of rare states and thermalization in a theory with confinement
published pages: 195108, ISSN: 2469-9950, DOI: 10.1103/PhysRevB.99.195108
Physical Review B 99/19 2019-12-16
2019 Laura Classen, Neil J. Robinson, Alexei M. Tsvelik
Ladderlike optical conductivity in the spin-fermion model
published pages: 115110, ISSN: 2469-9950, DOI: 10.1103/PhysRevB.99.115110
Physical Review B 99/11 2019-12-16
2019 Neil J. Robinson, A. J. J. M. de Klerk, Jean-Sébastien Caux
On computing non-equilibrium dynamics following a quench
published pages: , ISSN: , DOI:
arXiv preprint 2019-12-16
2019 Cubero, Axel Cortés; Robinson, Neil J.
Lack of thermalization in (1+1)-d QCD at large $N_c$
published pages: in print, ISSN: , DOI:
Journal of Statistical Mechanics: Theory and Experiment 2019-12-16
2019 Neil J. Robinson, Alexander Altland, Reinhold Egger, Niklas M. Gergs, Wei Li, Dirk Schuricht, Alexei M. Tsvelik, Andreas Weichselbaum, Robert M. Konik
Nontopological Majorana Zero Modes in Inhomogeneous Spin Ladders
published pages: 27201, ISSN: 0031-9007, DOI: 10.1103/PhysRevLett.122.027201
Physical Review Letters 122/2 2019-12-16
2017 T. Maurice Rice, Neil J. Robinson, Alexei M. Tsvelik
Umklapp scattering as the origin of T -linear resistivity in the normal state of high- T c cuprate superconductors
published pages: 220502(R), ISSN: 2469-9950, DOI: 10.1103/physrevb.96.220502
Physical Review B 96/22 2019-12-16

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