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Random quantum circuits
Quantum circuits—built from local unitary gates and local measurements—are a new
playground for quantum many-body physics and a tractable setting to explore universal …
playground for quantum many-body physics and a tractable setting to explore universal …
Fracton phases of matter
Fractons are a new type of quasiparticle which are immobile in isolation, but can often move
by forming bound states. Fractons are found in a variety of physical settings, such as spin …
by forming bound states. Fractons are found in a variety of physical settings, such as spin …
[HTML][HTML] Time-evolution methods for matrix-product states
Matrix-product states have become the de facto standard for the representation of one-
dimensional quantum many body states. During the last few years, numerous new methods …
dimensional quantum many body states. During the last few years, numerous new methods …
Theory of the phase transition in random unitary circuits with measurements
We present a theory of the entanglement transition tuned by measurement strength in qudit
chains evolved by random unitary circuits and subject to either weak or random projective …
chains evolved by random unitary circuits and subject to either weak or random projective …
Information scrambling in quantum circuits
Interactions in quantum systems can spread initially localized quantum information into the
exponentially many degrees of freedom of the entire system. Understanding this process …
exponentially many degrees of freedom of the entire system. Understanding this process …
Finite-temperature transport in one-dimensional quantum lattice models
Over the last decade impressive progress has been made in the theoretical understanding
of transport properties of clean, one-dimensional quantum lattice systems. Many physically …
of transport properties of clean, one-dimensional quantum lattice systems. Many physically …
Ergodicity breaking arising from Hilbert space fragmentation in dipole-conserving Hamiltonians
We show that the combination of charge and dipole conservation—characteristic of fracton
systems—leads to an extensive fragmentation of the Hilbert space, which, in turn, can lead …
systems—leads to an extensive fragmentation of the Hilbert space, which, in turn, can lead …
Measurement-induced criticality in random quantum circuits
We investigate the critical behavior of the entanglement transition induced by projective
measurements in (Haar) random unitary quantum circuits. Using a replica approach, we …
measurements in (Haar) random unitary quantum circuits. Using a replica approach, we …
Entanglement phase transitions in measurement-only dynamics
Unitary circuits subject to repeated projective measurements can undergo an entanglement
phase transition (EPT) as a function of the measurement rate. This transition is generally …
phase transition (EPT) as a function of the measurement rate. This transition is generally …
Critical properties of the measurement-induced transition in random quantum circuits
We numerically study the measurement-driven quantum phase transition of Haar-random
quantum circuits in 1+ 1 dimensions. By analyzing the tripartite mutual information we are …
quantum circuits in 1+ 1 dimensions. By analyzing the tripartite mutual information we are …