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Related Experiment Video

Updated: Apr 5, 2026

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Published on: June 8, 2018

Matrix Product States and First Quantization.

Jheng-Wei Li¹, Xavier Waintal¹

¹CEA, Université Grenoble Alpes, Grenoble INP, IRIG, Pheliqs, F-38000 Grenoble, France.

Physical Review Letters

|April 3, 2026

Summary

This summary is machine-generated.

We introduce a first-quantized matrix product state (MPS) approach for quantum many-body systems. This method significantly reduces entanglement entropy in simulations, outperforming traditional second-quantized methods.

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Area of Science:

Quantum Many-Body Physics
Computational Physics

Background:

Fermionic entanglement is typically high in first quantization but low in second quantization.
Matrix Product State (MPS) methods, effective for moderate entanglement, are usually formulated in second quantization.

Purpose of the Study:

To develop a first-quantized MPS approach for simulating quantum many-body systems.
To address the challenge of high fermionic entanglement in first quantization for MPS methods.

Main Methods:

Introduced a novel first-quantized MPS formulation.
Reformulated the handling of fermionic antisymmetry within the MPS framework.
Applied the method to the one-dimensional t-V model for ground state and time evolution.

Main Results:

Achieved MPS with entanglement levels comparable to second-quantization methods.
Demonstrated natural extension to long-range interactions in the Wigner crystal regime for ground states.
Observed significantly smaller entanglement entropy in first quantization compared to second quantization for time evolution.

Conclusions:

The developed first-quantized MPS approach offers a more efficient simulation of fermionic systems.
This method shows promise for studying systems with long-range interactions and for real-time dynamics.