Experimental observation of curved light-cones in a quantum field simulator
Marek Gluza
![](https://s3.amazonaws.com/media-p.slid.es/uploads/1896016/images/8694629/JSab.jpg)
![](https://s3.amazonaws.com/media-p.slid.es/uploads/1896016/images/8694628/FC.jpeg)
![](https://s3.amazonaws.com/media-p.slid.es/uploads/1896016/images/8694626/SCJ.jpeg)
Experiment
Theory
![](https://s3.amazonaws.com/media-p.slid.es/uploads/1896016/images/8694649/SS.jpeg)
![](https://s3.amazonaws.com/media-p.slid.es/uploads/1896016/images/8694639/Jens.png)
presenting based on new data by M. Tajik, J. Schmiedmayer
![](https://s3.amazonaws.com/media-p.slid.es/uploads/1896016/images/8717596/_5965332528011261405_121.jpg)
![](https://s3.amazonaws.com/media-p.slid.es/uploads/1896016/images/8694610/JS.jpeg)
N. Sebe, S. Erne, G. Guarnieri, S. Sotiriadis, J. Eisert
P. Schüttelkopf, F. Cataldini, J. Sabino, S-C. Ji, F. Moller
![](https://s3.amazonaws.com/media-p.slid.es/uploads/1896016/images/8694961/FrederikMoller.jpeg)
new data by M. Tajik, J. Schmiedmayer
![](https://s3.amazonaws.com/media-p.slid.es/uploads/1896016/images/9819660/unnamed.jpg)
![](https://s3.amazonaws.com/media-p.slid.es/uploads/1896016/images/9819821/photo_Nicolas_Sebe-1.jpeg)
How?
![](https://s3.amazonaws.com/media-p.slid.es/uploads/1896016/images/8692250/applesbananas.svg.png)
![](https://s3.amazonaws.com/media-p.slid.es/uploads/1896016/images/8692250/applesbananas.svg.png)
![](https://s3.amazonaws.com/media-p.slid.es/uploads/1896016/images/8692250/applesbananas.svg.png)
Ultra-cold 1d gases
![](https://s3.amazonaws.com/media-p.slid.es/uploads/1896016/images/8692250/applesbananas.svg.png)
Inside: atoms
Outside: wavepackets
hydrodynamics
![](https://s3.amazonaws.com/media-p.slid.es/uploads/1896016/images/8692250/applesbananas.svg.png)
Energy of phonons
![](https://s3.amazonaws.com/media-p.slid.es/uploads/1896016/images/8692250/applesbananas.svg.png)
Tomonaga-Luttinger liquid
![](https://s3.amazonaws.com/media-p.slid.es/uploads/1896016/images/8692250/applesbananas.svg.png)
Quantum field refrigerators in the TLL model:
![](https://s3.amazonaws.com/media-p.slid.es/uploads/1896016/images/8708646/Otto.png)
System
Piston
Bath
Bath with excitations
System cooled down
Breaking of the Huygens-Fresnel principle
in the inhomogenous TLL model:
![](https://s3.amazonaws.com/media-p.slid.es/uploads/1896016/images/8708620/Screenshot_from_2021-06-25_04-15-48.png)
![](https://s3.amazonaws.com/media-p.slid.es/uploads/1896016/images/8692250/applesbananas.svg.png)
Why?
Why develop continuous field
quantum simulators?
- Representation theory: Quantum information?
- Continuum limits: BQP and QMA or more?
- Are nanowires computationally hard to simulate?
What do we know is difficult?
SM
Fundamental
Universal
Effective
![](https://s3.amazonaws.com/media-p.slid.es/uploads/1896016/images/8692248/g1424.png)
![](https://s3.amazonaws.com/media-p.slid.es/uploads/1896016/images/9441889/sad.png)
Why develop continuous field
quantum simulators?
- Representation theory: Quantum information?
- Continuum limits: BQP and QMA or more?
- Are nanowires computationally hard to simulate?
What do we know is difficult?
SM
Fundamental
Universal
Effective
![](https://s3.amazonaws.com/media-p.slid.es/uploads/1896016/images/8692248/g1424.png)
![](https://s3.amazonaws.com/media-p.slid.es/uploads/1896016/images/8693255/gge.png)
![](https://s3.amazonaws.com/media-p.slid.es/uploads/1896016/images/8693254/sinegordon.png)
![](https://s3.amazonaws.com/media-p.slid.es/uploads/1896016/images/8693251/GHD.png)
Non-thermal
steady states
Sine-Gordon
thermal states
Atomtronics
Generalized hydrodynamics
Recurrences
Some highlights:
![](https://s3.amazonaws.com/media-p.slid.es/uploads/1896016/images/8695248/ghd2.png)
![](https://s3.amazonaws.com/media-p.slid.es/uploads/1896016/images/8695262/malvania.png)
![](https://s3.amazonaws.com/media-p.slid.es/uploads/1896016/images/8705968/rec22.png)
![](https://s3.amazonaws.com/media-p.slid.es/uploads/1896016/images/9351052/Screenshot_from_2022-02-20_13-24-21.png)
![](https://s3.amazonaws.com/media-p.slid.es/uploads/1896016/images/9351052/Screenshot_from_2022-02-20_13-24-21.png)
![](https://s3.amazonaws.com/media-p.slid.es/uploads/1896016/images/9351056/Screenshot_from_2022-02-20_13-25-15.png)
clickeable links at slides.com/marekgluza
![](https://s3.amazonaws.com/media-p.slid.es/uploads/1896016/images/9444128/slides_link22.png)
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Interferometry measures velocities
van Nieuwkerk, Schmiedmayer, Essler, arXiv:1806.02626
Schumm, Schmiedmayer, Kruger, et al., arXiv:quant-ph/0507047
Interferometry measures velocities
van Nieuwkerk, Schmiedmayer, Essler, arXiv:1806.02626
Schumm, Schmiedmayer, Kruger, et al., arXiv:quant-ph/0507047
Interferometry measures velocities
van Nieuwkerk, Schmiedmayer, Essler, arXiv:1806.02626
Schumm, Schmiedmayer, Kruger, et al., arXiv:quant-ph/0507047
![](https://s3.amazonaws.com/media-p.slid.es/uploads/1896016/images/8694649/SS.jpeg)
Idea by
S. Sotiriadis
is essentially the velocity
let's look at finite differences!
![](https://s3.amazonaws.com/media-p.slid.es/uploads/1896016/images/8694629/JSab.jpg)
![](https://s3.amazonaws.com/media-p.slid.es/uploads/1896016/images/8694628/FC.jpeg)
![](https://s3.amazonaws.com/media-p.slid.es/uploads/1896016/images/8694627/TS.jpeg)
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![](https://s3.amazonaws.com/media-p.slid.es/uploads/1896016/images/8694639/Jens.png)
![](https://s3.amazonaws.com/media-p.slid.es/uploads/1896016/images/8717596/_5965332528011261405_121.jpg)
![](https://s3.amazonaws.com/media-p.slid.es/uploads/1896016/images/8694610/JS.jpeg)
![](https://s3.amazonaws.com/media-p.slid.es/uploads/1896016/images/8694961/FrederikMoller.jpeg)
![](https://s3.amazonaws.com/media-p.slid.es/uploads/1896016/images/9326954/BR.png)
![](https://s3.amazonaws.com/media-p.slid.es/uploads/1896016/images/9326958/greece.png)
What is the meaning of velocity correlations?
Velocity correlations:
Anti-correlation:
Left moves opposite to right
Velocity correlations
And with anti-correlation:
What are the measured velocity correlations?
![](https://s3.amazonaws.com/media-p.slid.es/uploads/1896016/images/9819637/LC_fig_exp_v4.eps.png)
![](https://s3.amazonaws.com/media-p.slid.es/uploads/1896016/images/9819637/LC_fig_exp_v4.eps.png)
Derivatives = relative velocities!
![](https://s3.amazonaws.com/media-p.slid.es/uploads/1896016/images/9819618/LC_fig_2D_fronts_v11.eps.png)
![](https://s3.amazonaws.com/media-p.slid.es/uploads/1896016/images/8717596/_5965332528011261405_121.jpg)
![](https://s3.amazonaws.com/media-p.slid.es/uploads/1896016/images/8694610/JS.jpeg)
New data by M. Tajik, J. Schmiedmayer
u
![](https://s3.amazonaws.com/media-p.slid.es/uploads/1896016/images/9819618/LC_fig_2D_fronts_v11.eps.png)
![](https://s3.amazonaws.com/media-p.slid.es/uploads/1896016/images/8717596/_5965332528011261405_121.jpg)
![](https://s3.amazonaws.com/media-p.slid.es/uploads/1896016/images/8694610/JS.jpeg)
New data by M. Tajik, J. Schmiedmayer
u
![](https://s3.amazonaws.com/media-p.slid.es/uploads/1896016/images/9819618/LC_fig_2D_fronts_v11.eps.png)
![](https://s3.amazonaws.com/media-p.slid.es/uploads/1896016/images/8717596/_5965332528011261405_121.jpg)
![](https://s3.amazonaws.com/media-p.slid.es/uploads/1896016/images/8694610/JS.jpeg)
New data by M. Tajik, J. Schmiedmayer
u
u
u
u
u
u
![](https://s3.amazonaws.com/media-p.slid.es/uploads/1896016/images/8717596/_5965332528011261405_121.jpg)
![](https://s3.amazonaws.com/media-p.slid.es/uploads/1896016/images/8694610/JS.jpeg)
New data by M. Tajik, J. Schmiedmayer
![](https://s3.amazonaws.com/media-p.slid.es/uploads/1896016/images/9819653/LC_SM_fig_all_corrs_flat_v1.eps.png)
![](https://s3.amazonaws.com/media-p.slid.es/uploads/1896016/images/9819653/LC_SM_fig_all_corrs_flat_v1.eps.png)
![](https://s3.amazonaws.com/media-p.slid.es/uploads/1896016/images/9819653/LC_SM_fig_all_corrs_flat_v1.eps.png)
![](https://s3.amazonaws.com/media-p.slid.es/uploads/1896016/images/9819653/LC_SM_fig_all_corrs_flat_v1.eps.png)
Simplicity arising from a quench:
![](https://s3.amazonaws.com/media-p.slid.es/uploads/1896016/images/8717596/_5965332528011261405_121.jpg)
![](https://s3.amazonaws.com/media-p.slid.es/uploads/1896016/images/8694610/JS.jpeg)
Data by M. Tajik, J. Schmiedmayer
![](https://s3.amazonaws.com/media-p.slid.es/uploads/1896016/images/9819653/LC_SM_fig_all_corrs_flat_v1.eps.png)
![](https://s3.amazonaws.com/media-p.slid.es/uploads/1896016/images/9819653/LC_SM_fig_all_corrs_flat_v1.eps.png)
![](https://s3.amazonaws.com/media-p.slid.es/uploads/1896016/images/9819653/LC_SM_fig_all_corrs_flat_v1.eps.png)
![](https://s3.amazonaws.com/media-p.slid.es/uploads/1896016/images/9819653/LC_SM_fig_all_corrs_flat_v1.eps.png)
![](https://s3.amazonaws.com/media-p.slid.es/uploads/1896016/images/9819617/LC_fig_ref_rec_v4.pdf.png)
Reflections & recurrences
![](https://s3.amazonaws.com/media-p.slid.es/uploads/1896016/images/9819616/LC_fig_front_vel_v7.pdf.png)
![](https://s3.amazonaws.com/media-p.slid.es/uploads/1896016/images/9819618/LC_fig_2D_fronts_v11.eps.png)
![](https://s3.amazonaws.com/media-p.slid.es/uploads/1896016/images/9819618/LC_fig_2D_fronts_v11.eps.png)
![](https://s3.amazonaws.com/media-p.slid.es/uploads/1896016/images/9819618/LC_fig_2D_fronts_v11.eps.png)
![](https://s3.amazonaws.com/media-p.slid.es/uploads/1896016/images/9819618/LC_fig_2D_fronts_v11.eps.png)
![](https://s3.amazonaws.com/media-p.slid.es/uploads/1896016/images/9819616/LC_fig_front_vel_v7.pdf.png)
![](https://s3.amazonaws.com/media-p.slid.es/uploads/1896016/images/9819616/LC_fig_front_vel_v7.pdf.png)
Speed of sound varies in space
Experimental observation of curved light-cones in a quantum field simulator
Marek Gluza
![](https://s3.amazonaws.com/media-p.slid.es/uploads/1896016/images/8694629/JSab.jpg)
![](https://s3.amazonaws.com/media-p.slid.es/uploads/1896016/images/8694628/FC.jpeg)
![](https://s3.amazonaws.com/media-p.slid.es/uploads/1896016/images/8694626/SCJ.jpeg)
Experiment
Theory
![](https://s3.amazonaws.com/media-p.slid.es/uploads/1896016/images/8694649/SS.jpeg)
![](https://s3.amazonaws.com/media-p.slid.es/uploads/1896016/images/8694639/Jens.png)
presenting based on new data by M. Tajik, J. Schmiedmayer
![](https://s3.amazonaws.com/media-p.slid.es/uploads/1896016/images/8717596/_5965332528011261405_121.jpg)
![](https://s3.amazonaws.com/media-p.slid.es/uploads/1896016/images/8694610/JS.jpeg)
N. Sebe, S. Erne, G. Guarnieri, S. Sotiriadis, J. Eisert
P. Schüttelkopf, F. Cataldini, J. Sabino, S-C. Ji, F. Moller
![](https://s3.amazonaws.com/media-p.slid.es/uploads/1896016/images/8694961/FrederikMoller.jpeg)
new data by M. Tajik, J. Schmiedmayer
![](https://s3.amazonaws.com/media-p.slid.es/uploads/1896016/images/9819660/unnamed.jpg)
![](https://s3.amazonaws.com/media-p.slid.es/uploads/1896016/images/9819821/photo_Nicolas_Sebe-1.jpeg)
![](https://s3.amazonaws.com/media-p.slid.es/uploads/1896016/images/9819629/LC_SM_fig_corr_sim.eps.png)
![](https://s3.amazonaws.com/media-p.slid.es/uploads/1896016/images/9819653/LC_SM_fig_all_corrs_flat_v1.eps.png)
![](https://s3.amazonaws.com/media-p.slid.es/uploads/1896016/images/9819653/LC_SM_fig_all_corrs_flat_v1.eps.png)
![](https://s3.amazonaws.com/media-p.slid.es/uploads/1896016/images/9819652/LC_SM_fig_all_corrs_curved_v1.eps.png)
![](https://s3.amazonaws.com/media-p.slid.es/uploads/1896016/images/9819652/LC_SM_fig_all_corrs_curved_v1.eps.png)
![](https://s3.amazonaws.com/media-p.slid.es/uploads/1896016/images/9819651/LC_SM_fig_veldemo_v1.eps.png)
![](https://s3.amazonaws.com/media-p.slid.es/uploads/1896016/images/9819620/lightcone_2.pdf.png)
![](https://s3.amazonaws.com/media-p.slid.es/uploads/1896016/images/9819621/lightcone_illustration_1N.jpg)
![](https://s3.amazonaws.com/media-p.slid.es/uploads/1896016/images/9819626/lightcone_curved_3.pdf.png)
![](https://s3.amazonaws.com/media-p.slid.es/uploads/1896016/images/10571547/20230622_190727.jpg)
Observation of curved light cones in a quantum field simulator
By Marek Gluza
Observation of curved light cones in a quantum field simulator
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