# Discovering hydrodynamic equations of many-body quantum systems

@inproceedings{Kharkov2021DiscoveringHE, title={Discovering hydrodynamic equations of many-body quantum systems}, author={Yaroslav A. Kharkov and Oles Shtanko and Alireza Seif and Przemyslaw Bienias and Mathias Van Regemortel and Mohammad Hafezi and Alexey V. Gorshkov}, year={2021} }

Simulating and predicting dynamics of quantum many-body systems is extremely challenging, even for state-of-the-art computational methods, due to the spread of entanglement across the system. However, in the long-wavelength limit, quantum systems often admit a simplified description, which involves a small set of physical observables and requires only a few parameters such as sound velocity or viscosity. Unveiling the relationship between these hydrodynamic equations and the underlying…

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## References

SHOWING 1-10 OF 77 REFERENCES

### Emergent hydrodynamics in integrable quantum systems out of equilibrium

- Physics
- 2016

Understanding the general principles underlying strongly interacting quantum states out of equilibrium is one of the most important tasks of current theoretical physics. With experiments accessing…

### Quantum Generalized Hydrodynamics.

- PhysicsPhysical review letters
- 2020

Focusing on the one-dimensional gas of bosons with delta repulsion and on states of zero entropy, for which quantum fluctuations are larger, the resulting theory of quantum GHD can be viewed as a multicomponent Luttinger liquid theory, with a small set of effective parameters that are fixed by the thermodynamic Bethe ansatz.

### Hydrodynamic Diffusion in Integrable Systems.

- PhysicsPhysical review letters
- 2018

It is shown that hydrodynamic diffusion is generically present in many-body, one-dimensional interacting quantum and classical integrable models, and extended to terms of Navier-Stokes type, which leads to positive entropy production and diffusive relaxation mechanisms.

### Current Operators in Bethe Ansatz and Generalized Hydrodynamics: An Exact Quantum-Classical Correspondence

- Mathematics, PhysicsPhysical Review X
- 2020

Generalized Hydrodynamics is a recent theory that describes large scale transport properties of one dimensional integrable models. It is built on the (typically infinitely many) local conservation…

### Probing many-body dynamics on a 51-atom quantum simulator

- PhysicsNature
- 2017

This work demonstrates a method for creating controlled many-body quantum matter that combines deterministically prepared, reconfigurable arrays of individually trapped cold atoms with strong, coherent interactions enabled by excitation to Rydberg states, and realizes a programmable Ising-type quantum spin model with tunable interactions and system sizes of up to 51 qubits.

### Solvable Hydrodynamics of Quantum Integrable Systems.

- PhysicsPhysical review letters
- 2017

Time evolution from local equilibria in quantum integrable models by solving a certain kinetic equation, the "Bethe-Boltzmann" equation satisfied by the local pseudomomentum density, is studied.

### Solving the quantum many-body problem with artificial neural networks

- Computer Science, PhysicsScience
- 2017

A variational representation of quantum states based on artificial neural networks with a variable number of hidden neurons and a reinforcement-learning scheme that is capable of both finding the ground state and describing the unitary time evolution of complex interacting quantum systems.

### Finite-temperature transport in one-dimensional quantum lattice models

- PhysicsReviews of Modern Physics
- 2020

The last decade has witnessed an impressive progress in the theoretical understanding of transport properties of clean, one-dimensional quantum lattice systems. Many physically relevant models in one…

### Self-consistent quantum kinetics of condensate and non-condensate via a coupled equation of motion formalism

- Physics
- 2001

This paper extends an earlier quantum kinetics treatment for dilute, weakly interacting, partially Bose-Einstein condensed gases, presented by the author elsewhere (Proukakis N P and Burnett K 1996…

### Cumulant theory of the unitary Bose gas: Prethermal and Efimovian dynamics

- Physics
- 2020

We study the quench of a degenerate ultracold Bose gas to the unitary regime, where interactions are as strong as allowed by quantum mechanics. We lay the foundations of a cumulant theory able to…