Entanglement Growth and Minimal Membranes in (d+1) Random Unitary Circuits

Piotr Sierant; Marco Schirò; Maciej Lewenstein; Xhek Turkeshi

doi:10.1103/PhysRevLett.131.230403

Entanglement Growth and Minimal Membranes in (d+1) Random Unitary Circuits

Piotr Sierant, Marco Schirò, Maciej Lewenstein, Xhek Turkeshi

Research output: Contribution to journal › Article › peer-review

Abstract

Understanding the nature of entanglement growth in many-body systems is one of the fundamental questions in quantum physics. Here, we study this problem by characterizing the entanglement fluctuations and distribution of a (d+1)-dimensional qubit lattice evolved under a random unitary circuit. Focusing on Clifford gates, we perform extensive numerical simulations of random circuits in 1≤d≤4 dimensions. Our findings demonstrate that properties of growth of bipartite entanglement entropy are characterized by the roughening exponents of a d-dimensional membrane in a (d+1)-dimensional elastic medium.

Original language	English
Article number	230403
Journal	Physical Review Letters
Volume	131
Issue number	23
DOIs	https://doi.org/10.1103/PhysRevLett.131.230403
Publication status	Published - 8 Dec 2023
Externally published	Yes

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10.1103/PhysRevLett.131.230403

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abstract = "Understanding the nature of entanglement growth in many-body systems is one of the fundamental questions in quantum physics. Here, we study this problem by characterizing the entanglement fluctuations and distribution of a (d+1)-dimensional qubit lattice evolved under a random unitary circuit. Focusing on Clifford gates, we perform extensive numerical simulations of random circuits in 1≤d≤4 dimensions. Our findings demonstrate that properties of growth of bipartite entanglement entropy are characterized by the roughening exponents of a d-dimensional membrane in a (d+1)-dimensional elastic medium.",

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AB - Understanding the nature of entanglement growth in many-body systems is one of the fundamental questions in quantum physics. Here, we study this problem by characterizing the entanglement fluctuations and distribution of a (d+1)-dimensional qubit lattice evolved under a random unitary circuit. Focusing on Clifford gates, we perform extensive numerical simulations of random circuits in 1≤d≤4 dimensions. Our findings demonstrate that properties of growth of bipartite entanglement entropy are characterized by the roughening exponents of a d-dimensional membrane in a (d+1)-dimensional elastic medium.

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Entanglement Growth and Minimal Membranes in (d+1) Random Unitary Circuits

Abstract

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