Bruno Bertini
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View article: Translation symmetry restoration in integrable systems: The noninteracting case
Translation symmetry restoration in integrable systems: The noninteracting case Open
The study of symmetry restoration has recently emerged as a fruitful means to extract high-level information on the relaxation of quantum many-body systems. However, while the restoration of internal symmetries has been investigated intens…
View article: Translation symmetry restoration in integrable systems: The noninteracting case
Translation symmetry restoration in integrable systems: The noninteracting case Open
The study of symmetry restoration has recently emerged as a fruitful means to extract high-level information on the relaxation of quantum many-body systems. However, while the restoration of internal symmetries has been investigated intens…
View article: Exact large deviations and emergent long-range correlations in sequential quantum East circuits
Exact large deviations and emergent long-range correlations in sequential quantum East circuits Open
Exploiting quantum measurements is a promising route for preparation of correlated quantum states. We use methods from large deviation theory to solve this problem exactly for a specific system: the deterministic quantum East circuit with …
View article: Entanglement dynamics and Page curves in random permutation circuits
Entanglement dynamics and Page curves in random permutation circuits Open
The characterization of ensembles of many-qubit random states and their realization via quantum circuits are crucial tasks in quantum-information theory. In this work, we study the ensembles generated by quantum circuits that randomly perm…
View article: Translation symmetry restoration under random unitary dynamics
Translation symmetry restoration under random unitary dynamics Open
The finite parts of a large, locally interacting many-body system prepared out of equilibrium eventually equilibrate. Characterizing the underlying mechanisms of this process and its timescales, however, is particularly hard as it requires…
View article: Entanglement of Disjoint Intervals in Dual-Unitary Circuits: Exact Results
Entanglement of Disjoint Intervals in Dual-Unitary Circuits: Exact Results Open
The growth of the entanglement between two disjoint intervals and its complement after a quantum quench is regarded as a dynamical chaos indicator. Namely, it is expected to show qualitatively different behaviours depending on whether the …
View article: Quantum State Designs from Minimally Random Quantum Circuits
Quantum State Designs from Minimally Random Quantum Circuits Open
Random many-body states are both a useful tool to model certain physical systems and an important asset for quantum computation. Realising them, however, generally requires an exponential (in system size) amount of resources. Recent resear…
View article: Nonequilibrium Dynamics of Charged Dual-Unitary Circuits
Nonequilibrium Dynamics of Charged Dual-Unitary Circuits Open
The interplay between symmetries and entanglement in out-of-equilibrium quantum systems is currently at the center of an intense multidisciplinary research effort. Here we introduce a setting where these questions can be characterized exac…
View article: Fluctuations of stochastic charged cellular automata
Fluctuations of stochastic charged cellular automata Open
We obtain the exact full counting statistics of a cellular automaton with freely propagating vacancies and charged particles that are stochastically scattered or transmitted upon collision by identifying the problem as a colored stochastic…
View article: Quantum and Classical Dynamics with Random Permutation Circuits
Quantum and Classical Dynamics with Random Permutation Circuits Open
Understanding thermalization in quantum many-body systems is among the most enduring problems in modern physics. A particularly interesting question concerns the role played by quantum mechanics in this process, i.e., whether thermalizatio…
View article: Efficient post-selection in light cone correlations of monitored quantum circuits
Efficient post-selection in light cone correlations of monitored quantum circuits Open
We consider how to target evolution conditioned on atypical measurement outcomes in monitored quantum circuits, i.e., the post-selection problem. We show that for a simple class of measurement schemes, post-selected light cone dynamical co…
View article: Rationally independent free fermions with local hopping
Rationally independent free fermions with local hopping Open
Rationally independent free fermions are those where sums of single-particle energies multiplied by arbitrary rational coefficients vanish only if the coefficients are all zero. This property guaranties that they have no degeneracies in th…
View article: Entanglement of Disjoint Intervals in Dual-Unitary Circuits: Exact Results
Entanglement of Disjoint Intervals in Dual-Unitary Circuits: Exact Results Open
The growth of the entanglement between two disjoint intervals and its complement after a quantum quench is regarded as a dynamical chaos indicator. Namely, it is expected to show qualitatively different behaviours depending on whether the …
View article: Structural stability hypothesis of dual unitary quantum chaos
Structural stability hypothesis of dual unitary quantum chaos Open
Having spectral correlations that, over small enough energy scales, are described by random matrix theory is regarded as the most general defining feature of quantum chaotic systems as it applies in the many-body setting and away from any …
View article: Efficient post-selection in light-cone correlations of monitored quantum circuits
Efficient post-selection in light-cone correlations of monitored quantum circuits Open
We consider how to target evolution conditioned on atypical measurement outcomes in monitored quantum circuits, i.e., the post-selection problem. We show that for a simple class of measurement schemes, post-selected light-cone dynamical co…
View article: Non-equilibrium dynamics of charged dual-unitary circuits
Non-equilibrium dynamics of charged dual-unitary circuits Open
The interplay between symmetries and entanglement in out-of-equilibrium quantum systems is currently at the centre of an intense multidisciplinary research effort. Here we introduce a setting where these questions can be characterised exac…
View article: Quantum and Classical Dynamics with Random Permutation Circuits
Quantum and Classical Dynamics with Random Permutation Circuits Open
Understanding thermalisation in quantum many-body systems is among the most enduring problems in modern physics. A particularly interesting question concerns the role played by quantum mechanics in this process, i.e. whether thermalisation…
View article: Quantum Information Spreading in Generalized Dual-Unitary Circuits
Quantum Information Spreading in Generalized Dual-Unitary Circuits Open
We study the spreading of quantum information in a recently introduced family of brickwork quantum circuits that generalizes the dual-unitary class. These circuits are unitary in time, while their spatial dynamics is unitary only in a rest…
View article: Quench dynamics in lattices above one dimension: The free fermionic case
Quench dynamics in lattices above one dimension: The free fermionic case Open
We begin a systematic investigation of quench dynamics in higher-dimensional lattice systems considering the case of noninteracting fermions with conserved particle number. We prepare the system in a translational-invariant nonequilibrium …
View article: Translation symmetry restoration under random unitary dynamics
Translation symmetry restoration under random unitary dynamics Open
The finite parts of a large, locally interacting many-body system prepared out-of-equilibrium eventually equilibrate. Characterising the underlying mechanisms of this process and its timescales, however, is particularly hard as it requires…
View article: Dynamics of charge fluctuations from asymmetric initial states
Dynamics of charge fluctuations from asymmetric initial states Open
Conserved-charge densities are very special observables in quantum many-body systems as, by construction, they encode information about the dynamics. Therefore, their evolution is expected to be of much simpler interpretation than that of …
View article: Rationally independent free fermions with local hopping
Rationally independent free fermions with local hopping Open
Rationally independent free fermions are those where sums of single-particle energies multiplied by arbitrary rational coefficients vanish only if the coefficients are all zero. This property guaranties that they have no degeneracies in th…
View article: Exact Quench Dynamics of the Floquet Quantum East Model at the Deterministic Point
Exact Quench Dynamics of the Floquet Quantum East Model at the Deterministic Point Open
We study the nonequilibrium dynamics of the Floquet quantum East model (a Trotterized version of the kinetically constrained quantum East spin chain) at its “deterministic point,” where evolution is defined in terms of CNOT permutation gat…
View article: Localized Dynamics in the Floquet Quantum East Model
Localized Dynamics in the Floquet Quantum East Model Open
We introduce and study the discrete-time version of the quantum East model, an interacting quantum spin chain inspired by simple kinetically constrained models of classical glasses. Previous work has established that its continuous-time co…
View article: Quantum information spreading in generalised dual-unitary circuits
Quantum information spreading in generalised dual-unitary circuits Open
We study the spreading of quantum information in a recently introduced family of brickwork quantum circuits that generalises the dual-unitary class. These circuits are unitary in time, while their spatial dynamics is unitary only in a rest…
View article: Quench dynamics in lattices above one dimension: the free fermionic case
Quench dynamics in lattices above one dimension: the free fermionic case Open
We begin a systematic investigation of quench dynamics in higher-dimensional lattice systems considering the case of non-interacting fermions with conserved particle number. We prepare the system in a translational-invariant non-equilibriu…
View article: Temporal Entanglement in Chaotic Quantum Circuits
Temporal Entanglement in Chaotic Quantum Circuits Open
The concept of space evolution (or space-time duality) has emerged as a promising approach for studying quantum dynamics. The basic idea involves exchanging the roles of space and time, evolving the system using a space transfer matrix rat…
View article: Exact quench dynamics of the Floquet quantum East model at the deterministic point
Exact quench dynamics of the Floquet quantum East model at the deterministic point Open
We study the nonequilibrium dynamics of the Floquet quantum East model (a Trotterized version of the kinetically constrained quantum East spin chain) at its "deterministic point", where evolution is defined in terms of CNOT permutation gat…
View article: Microscopic origin of the quantum Mpemba effect in integrable systems
Microscopic origin of the quantum Mpemba effect in integrable systems Open
The highly complicated nature of far from equilibrium systems can lead to a complete breakdown of the physical intuition developed in equilibrium. A famous example of this is the Mpemba effect, which states that non-equilibrium states may …
View article: Nonequilibrium Full Counting Statistics and Symmetry-Resolved Entanglement from Space-Time Duality
Nonequilibrium Full Counting Statistics and Symmetry-Resolved Entanglement from Space-Time Duality Open
Owing to its probabilistic nature, a measurement process in quantum mechanics produces a distribution of possible outcomes. This distribution-or its Fourier transform known as full counting statistics (FCS)-contains much more information t…