Mechanisms for the emergence of Gaussian correlations
Marek Gluza
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presenting based on collaboration with
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T. Schweigler, M. Tajik, J. Sabino, F. Cataldini, S-C. Ji, F. Moller, B. Rauer, J. Schmiedmayer, J. Eisert, S. Sotiriadis
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NTU Singapore
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archiving our temporal thoughts about time
Today will be about
Using quantum simulator read-out
to better understand observed physics
The physical system
Can we 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
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Non-thermal
steady states
Sine-Gordon
thermal states
Atomtronics
Generalized hydrodynamics
Recurrences
Some highlights:
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Amin Tajik on Friday
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Interferometry
measures velocities
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Initial non-Gaussianity decays
Why does it decay?
The system is isolated
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Initial non-Gaussianity decays
Why does it revive?
The system is isolated
Then it revives
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See persistence of non-Gaussianity in Rydberg arrays: Deger, Daniel, Papić, Pachos arxiv:2306.12210
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Single-particle Green's functions that behave like this: Gaussify
(Think: Central limit theorem)
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Phase fluctuations
Phase derivative correlations
increase with distance
decay but sizeable
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Effective light cone
not dispersive
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Conclusion: Spatial scrambling unlikely in this experiment
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but
Think: transmuting the cumulant
Canonical decoupling:
Dominant Gaussian sector:
Quadrature rotation:
Gaussification by transmutation:
Classical field approximation conjecture: general at high temperature?
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Conclusion: Canonical transmutation likely in this experiment
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Conclusion: Canonical transmutation likely in this experiment
Conclusion: Spatial scrambling unlikely in this experiment
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T. Schweigler, M. Tajik, J. Sabino, F. Cataldini, S-C. Ji, F. Moller, B. Rauer, J. Schmiedmayer, J. Eisert, S. Sotiriadis
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archiving our temporal thoughts about time
How?
1d gases
Inside: atoms
Outside: wavepackets
hydrodynamics
Energy of phonons
Tomonaga-Luttinger liquid
Gluza&Sabino&Vitaliagno&Ng, Huber&Schmiedmayer&Eisert, arixv:2006.01177
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)
Gluza, Moosavi, Sotiriadis, arxiv:2104.07751
Why?
What?
What about correlations?
![](https://s3.amazonaws.com/media-p.slid.es/uploads/1896016/images/8692827/out.gif)
Velocity correlations:
Anti-correlation:
Left moves opposite to right
Velocity correlations
And with anti-correlation:
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New data by M. Tajik, J. Schmiedmayer
Time step: 1ms
Simplicity arising from a quench:
![](https://s3.amazonaws.com/media-p.slid.es/uploads/1896016/images/8717596/_5965332528011261405_121.jpg)
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Data by M. Tajik, J. Schmiedmayer
![](https://s3.amazonaws.com/media-p.slid.es/uploads/1896016/images/8691868/fig_derivatives_data13.png)
![](https://s3.amazonaws.com/media-p.slid.es/uploads/1896016/images/8713206/fig_derivatives_data6.png)
What?
What about quantum correlations?
![](https://s3.amazonaws.com/media-p.slid.es/uploads/1896016/images/8692833/out.gif)
Tomography for phonons
Gluza, Schmiedmayer&Eisert, et al, arxiv:1807.04567
Gluza, Eisert, arxiv:2005.09000
Tomography Klein-Gordon thermal state after quench
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Data by M. Tajik, J. Schmiedmayer
Towards entanglement
Issue #1: Gibbs phenomenon
10 eigen-modes:
20 eigen-modes:
Issue #2: Zero mode missing in tomography
Towards entanglement
Role of the zero mode in entanglement
Squeezing criterion needs:
Not available in tomography
Conclusions
The atom chip experiment in Vienna:
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M. Tajik, J. Schmiedmayer
S. Sotiriadis, J. Eisert
T. Schweigler, J. Sabino, F. Cataldini, S-C. Ji, F. Moller
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Exciting simplicity!
![](https://s3.amazonaws.com/media-p.slid.es/uploads/1896016/images/8691868/fig_derivatives_data13.png)
Mechanisms for the emergence of Gaussian correlations
By Marek Gluza
Mechanisms for the emergence of Gaussian correlations
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