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View article: Scaling Theory of Fading Ergodicity
Scaling Theory of Fading Ergodicity Open
In most noninteracting quantum systems, the scaling theory of localization predicts one-parameter scaling flow in both ergodic and localized regimes. A corresponding scaling theory of many-body ergodicity breaking is still missing. Here, w…
View article: Destructive Interference induced constraints in Floquet systems
Destructive Interference induced constraints in Floquet systems Open
We introduce the paradigm of destructive many-body interference between quantum trajectories as a means to systematically generate prethermal kinetically constrained dynamics in Floquet systems driven at special frequencies. Depending on t…
View article: False signatures of non-ergodic behavior in disordered quantum many-body systems
False signatures of non-ergodic behavior in disordered quantum many-body systems Open
Ergodic isolated quantum many-body systems satisfy the eigenstate thermalization hypothesis (ETH), i.e., the expectation values of local observables in the system's eigenstates approach the predictions of the microcanonical ensemble. Howev…
View article: Critical Dynamics in Short-Range Quadratic Hamiltonians
Critical Dynamics in Short-Range Quadratic Hamiltonians Open
We investigate critical transport and the dynamical exponent through the spreading of an initially localized particle in quadratic Hamiltonians with short-range hopping in lattice dimension dl. We consider critical dynamics that emerges wh…
View article: Universal Relation between Spectral and Wavefunction Properties at Criticality
Universal Relation between Spectral and Wavefunction Properties at Criticality Open
Quantum-chaotic systems exhibit several universal properties, ranging from level repulsion in the energy spectrum to wavefunction delocalization. On the other hand, if wavefunctions are localized, the levels exhibit no level repulsion and …
View article: Fading ergodicity meets maximal chaos
Fading ergodicity meets maximal chaos Open
Fading ergodicity provides a theoretical framework for understanding deviations from the eigenstate thermalization hypothesis (ETH) near ergodicity-breaking transitions. In this work we demonstrate that the position of the ergodicity-break…
View article: Exact spectral form factors of noninteracting fermions with Dyson statistics
Exact spectral form factors of noninteracting fermions with Dyson statistics Open
The spectral form factor (SFF) is a powerful diagnostic of random matrix behavior in quantum many-body systems. We introduce a family of random circuit ensembles whose SFFs can be computed . These ensembles describe the evolution of nonint…
View article: Single-Particle Universality of the Many-Body Spectral Form Factor
Single-Particle Universality of the Many-Body Spectral Form Factor Open
We consider systems of fermions evolved by noninteracting unitary circuits with correlated on-site potentials. When these potentials are drawn from the eigenvalue distribution of a circular random matrix ensemble, the single-particle secto…
View article: Critical Dynamics in Short-Range Quadratic Hamiltonians
Critical Dynamics in Short-Range Quadratic Hamiltonians Open
We investigate critical transport and the dynamical exponent through the spreading of an initially localized particle in quadratic Hamiltonians with short-range hopping in lattice dimension $d_l$. We consider critical dynamics that emerges…
View article: Fading ergodicity meets maximal chaos
Fading ergodicity meets maximal chaos Open
Fading ergodicity provides a theoretical framework for understanding deviations from the eigenstate thermalization hypothesis (ETH) near ergodicity-breaking transitions. In this work, we demonstrate that the breakdown of the ETH at the int…
View article: Scaling theory of fading ergodicity
Scaling theory of fading ergodicity Open
In most noninteracting quantum systems, the scaling theory of localization predicts one-parameter scaling flow in both ergodic and localized regimes. On the other hand, it is expected that the one-parameter scaling hypothesis breaks down f…
View article: Many-body localization in the age of classical computing<sup>*</sup>
Many-body localization in the age of classical computing<sup>*</sup> Open
Statistical mechanics provides a framework for describing the physics of large, complex many-body systems using only a few macroscopic parameters to determine the state of the system. For isolated quantum many-body systems, such a descript…
View article: Fading ergodicity
Fading ergodicity Open
Eigenstate thermalization hypothesis (ETH) represents a breakthrough in many-body physics since it allows us to link thermalization of physical observables with the applicability of random matrix theory (RMT). Recent years were also extrem…
View article: Exact spectral form factors of non-interacting fermions with Dyson statistics
Exact spectral form factors of non-interacting fermions with Dyson statistics Open
The spectral form factor (SFF) is a powerful diagnostic of random matrix behavior in quantum many-body systems. We introduce a family of random circuit ensembles whose SFFs can be computed \textit{exactly}. These ensembles describe the evo…
View article: Single-Particle Universality of the Many-Body Spectral Form Factor
Single-Particle Universality of the Many-Body Spectral Form Factor Open
We consider systems of fermions evolved by non-interacting unitary circuits with correlated on-site potentials. When these potentials are drawn from the eigenvalue distribution of a circular random matrix ensemble, the single-particle sect…
View article: Localization transitions in quadratic systems without quantum chaos
Localization transitions in quadratic systems without quantum chaos Open
Transitions from delocalized to localized eigenstates have been extensively studied in both quadratic and interacting models. The delocalized regime typically exhibits diffusion and quantum chaos, and its properties comply with the random …
View article: Quasicondensation and off-diagonal long-range order of hard-core bosons during a free expansion
Quasicondensation and off-diagonal long-range order of hard-core bosons during a free expansion Open
Quasicondensation in one dimension is known to occur for equilibrium systems of hard-core bosons (HCBs) at zero temperature. This phenomenon arises due to the off-diagonal long-range order in the ground state, characterized by a power-law …
View article: Survival Probability, Particle Imbalance, and Their Relationship in Quadratic Models
Survival Probability, Particle Imbalance, and Their Relationship in Quadratic Models Open
We argue that the dynamics of particle imbalance in quadratic fermionic models is, for the majority of initial many-body product states in the site occupation basis, virtually indistinguishable from the dynamics of survival probabilities o…
View article: Critical quantum dynamics of observables at eigenstate transitions
Critical quantum dynamics of observables at eigenstate transitions Open
It is an outstanding goal to unveil the key features of quantum dynamics at eigenstate transitions. Focusing on quadratic fermionic Hamiltonians that exhibit localization transitions, we identify physical observables that exhibit scale-inv…
View article: Many-body mobility edge in quantum sun models
Many-body mobility edge in quantum sun models Open
The quantum sun model is an interacting model that exhibits sharp signatures of ergodicity breaking phase transition. Here, we show that the model exhibits a many-body mobility edge. We provide analytical arguments for its existence, compl…
View article: Similarity between a many-body quantum avalanche model and the ultrametric random matrix model
Similarity between a many-body quantum avalanche model and the ultrametric random matrix model Open
In the field of ergodicity-breaking phases, it has been recognized that quantum avalanches can destabilize many-body localization at a wide range of disorder strengths. This has in particular been demonstrated by the numerical study of a t…
View article: Normal weak eigenstate thermalization
Normal weak eigenstate thermalization Open
Eigenstate thermalization has been numerically shown to occur for few-body observables in a wide range of nonintegrable models. For intensive sums of few-body observables, a weaker version of eigenstate thermalization known as weak eigenst…
View article: Many-Body Localization in the Age of Classical Computing
Many-Body Localization in the Age of Classical Computing Open
Statistical mechanics provides a framework for describing the physics of large, complex many-body systems using only a few macroscopic parameters to determine the state of the system. For isolated quantum many-body systems, such a descript…
View article: Quasicondensation and off-diagonal long-range order of hard-core bosons during a free expansion
Quasicondensation and off-diagonal long-range order of hard-core bosons during a free expansion Open
Quasicondensation in one dimension is known to occur for equilibrium systems of hard-core bosons (HCBs) at zero temperature. This phenomenon arises due to the off-diagonal long-range order in the ground state, characterized by a power-law …
View article: Scale-invariant critical dynamics at eigenstate transitions
Scale-invariant critical dynamics at eigenstate transitions Open
The notion of scale-invariant dynamics is well established at late times in quantum chaotic systems, as illustrated by the emergence of a ramp in the spectral form factor (SFF). Building on the results of the preceding Letter [Phys. Rev. L…
View article: Critical quantum dynamics of observables at eigenstate transitions
Critical quantum dynamics of observables at eigenstate transitions Open
It is an outstanding goal to unveil the key features of quantum dynamics at eigenstate transitions. Focusing on quadratic fermionic Hamiltonians that exhibit localization transitions, we identify physical observables that exhibit scale-inv…
View article: Eigenstate entanglement entropy in the integrable spin-$\frac{1}{2}$ XYZ model
Eigenstate entanglement entropy in the integrable spin-$\frac{1}{2}$ XYZ model Open
We study the average and the standard deviation of the entanglement entropy of highly excited eigenstates of the integrable interacting spin-$\frac{1}{2}$ XYZ chain away from and at special lines with $U(1)$ symmetry and supersymmetry. We …
View article: Scale-invariant critical dynamics at eigenstate transitions
Scale-invariant critical dynamics at eigenstate transitions Open
The notion of scale-invariant dynamics is well established at late times in quantum chaotic systems, as illustrated by the emergence of a ramp in the spectral form factor (SFF). Building on the results of the preceding Letter [Phys. Rev. L…
View article: Similarity between a many-body quantum avalanche model and the ultrametric random matrix model
Similarity between a many-body quantum avalanche model and the ultrametric random matrix model Open
In the field of ergodicity-breaking phases, it has been recognized that quantum avalanches can destabilize many-body localization at a wide range of disorder strengths. This has in particular been demonstrated by the numerical study of a t…
View article: Many-Body Mobility Edge in Quantum Sun models
Many-Body Mobility Edge in Quantum Sun models Open
The quantum sun model is an interacting model that exhibits sharp signatures of ergodicity breaking phase transition. Here, we show that the model exhibits a many-body mobility edge. We provide analytical arguments for its existence, compl…