Probing Infinite Many-Body Quantum Systems with Finite-Size Quantum Simulators

@article{Kuzmin2022ProbingIM,
  title={Probing Infinite Many-Body Quantum Systems with Finite-Size Quantum Simulators},
  author={Viacheslav Kuzmin and Torsten V. Zache and C. Kokail and Lorenzo Pastori and Alessio Celi and Mikhail A. Baranov and Peter Zoller},
  journal={PRX Quantum},
  year={2022}
}
Experimental studies of synthetic quantum matter are necessarily restricted to approximate ground states prepared on finite-size quantum simulators. In general, this limits their reliability for strongly correlated systems, for instance, in the vicinity of a quantum phase transition (QPT). Here, we propose a protocol that makes optimal use of a given finite-size simulator by directly preparing, on its bulk region, a mixed state representing the reduced density operator of the translation… 
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References

SHOWING 1-10 OF 87 REFERENCES
Self-verifying variational quantum simulation of lattice models
TLDR
Experiments are presented that demonstrate self-verifying, hybrid, variational quantum simulation of lattice models in condensed matter and high-energy physics, enabling the study of a wide variety of previously intractable target models.
Quantum phases of matter on a 256-atom programmable quantum simulator.
TLDR
This work demonstrates a programmable quantum simulator based on deterministically prepared two-dimensional arrays of neutral atoms, featuring strong interactions controlled by coherent atomic excitation into Rydberg states, and realizes a quantum spin model with tunable interactions for system sizes ranging from 64 to 256 qubits.
Entanglement Hamiltonian tomography in quantum simulation
Entanglement is the crucial ingredient of quantum many-body physics, and characterizing and quantifying entanglement in closed system dynamics of quantum simulators is an outstanding challenge in
Quantum simulation and spectroscopy of entanglement Hamiltonians
The properties of a strongly correlated many-body quantum system, from the presence of topological order to the onset of quantum criticality, leave a footprint in its entanglement spectrum. The
Efficient quantum simulation for thermodynamics of infinite-size many-body systems in arbitrary dimensions
In this work, we propose to simulate many-body thermodynamics of infinite-size quantum lattice models by few-body models of only O(10) sites, which we coin as quantum entanglement simulators (QES's).
Probing topological spin liquids on a programmable quantum simulator
TLDR
The onset of a quantum spin liquid phase of the paradigmatic toric code type was detected by using topological string operators that provide direct signatures of topological order and quantum correlations.
Quantum simulation of 2D antiferromagnets with hundreds of Rydberg atoms.
TLDR
This work uses programmable arrays of individual atoms trapped in optical tweezers, with interactions controlled by laser excitation to Rydberg states, to implement an iconic many-body problem-the antiferromagnetic two-dimensional transverse-field Ising model, and demonstrates that this platform can be readily used to address open questions in many- body physics.
Dynamics of a quantum phase transition and relaxation to a steady state
We review recent theoretical work on two closely related issues: excitation of an isolated quantum condensed matter system driven adiabatically across a continuous quantum phase transition or a
Quantum Variational Learning of the Entanglement Hamiltonian.
TLDR
A protocol where spatial deformations of the many-body Hamiltonian serve as an efficient variational ansatz for a local EH, and optimal variational parameters are determined in a feedback loop, involving quench dynamics with the deformed Hamiltonian as a quantum processing step, and classical optimization.
Few-body systems capture many-body physics: Tensor network approach
Due to the presence of strong correlations, theoretical or experimental investigations of quantum many-body systems belong to the most challenging tasks in modern physics. Stimulated by tensor
...
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