137 citations · 143 across the 17 of their papers we have counts for
19 papers
Eigenstate transitions and critical transport in 3D Aubry-André model
Pragna Das, Lev Vidmar, Miroslav Hopjan
We numerically study spectral and wave-function properties, as well as time evolution, in finite-size commensurate approximations of the 3D Aubry-André model. We explicitly show, t…
Many-body ergodicity breaking from wavefunction snapshots
Riccardo Andreoni, Devendra Singh Bhakuni, Marcello Dalmonte +2
Modern quantum experiments can probe many-body wavefunctions through projective measurements, providing snapshots of individual many-body configurations. A fundamental question is…
Two-Parameter Ansatz for the Violation of Eigenstate Thermalization
Kohei Ohgane, Lev Vidmar
The eigenstate thermalization hypothesis (ETH) provides the prevailing framework for understanding quantum thermalization and ergodicity in isolated many-body systems. Yet, no gene…
Information Compression at Criticality
Simon Jiricek, Miroslav Hopjan, Boris Altshuler +2
Highly excited quantum states at the critical boundary of ergodicity are known to deviate from thermal behavior, yet their dynamical properties remain poorly understood. Here, we u…
One-Body Purity, Non-Gaussianity, and Entanglement in Interacting Integrable Models
Rafał Świętek, Maksymilian Kliczkowski, Lev Vidmar +1
When describing entanglement in typical midspectrum eigenstates of many-body lattice Hamiltonians, two paradigms have emerged that capture the behavior observed in integrable and n…
Sensitivity to perturbations in the three-dimensional Anderson model
Piotr Tokarczyk, Lev Vidmar, Anatoli Polkovnikov +1
We investigate the fidelity susceptibility, which quantifies the sensitivity of single-particle eigenstates to perturbations, in the three-dimensional Anderson model. As a function…
Computing eigenpairs of quantum many-body systems with Polfed.jl
Rok Pintar, Konrad Pawlik, Rafał Świętek +5
We present Polfedjl, an open-source Julia package implementing the Polynomially Filtered Exact Diagonalization (POLFED) algorithm for computing mid-spectrum eigenvalues and eige…
Fading ergodicity and quantum dynamics in random matrix ensembles
Rafał Świętek, Maksymilian Kliczkowski, Miroslav Hopjan +1
Recent work has proposed fading ergodicity as a mechanism for many-body ergodicity breaking. Here, we show that two paradigmatic random matrix ensembles -- the Rosenzweig-Porter mo…
Destructive Interference induced constraints in Floquet systems
Somsubhra Ghosh, Indranil Paul, K. Sengupta +1
We introduce the paradigm of destructive many-body interference between quantum trajectories as a means to systematically generate prethermal kinetically constrained dynamics in Fl…
Universal Relation between Spectral and Wavefunction Properties at Criticality
Simon Jiricek, Miroslav Hopjan, Vladimir Kravtsov +2
Quantum-chaotic systems exhibit several universal properties, ranging from level repulsion in the energy spectrum to wavefunction delocalization. On the other hand, if wavefunction…
Critical Dynamics in Short-Range Quadratic Hamiltonians
Miroslav Hopjan, Lev Vidmar
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…
Fading ergodicity meets maximal chaos
Rafał Świętek, Patrycja Łydżba, Lev Vidmar
Fading ergodicity provides a theoretical framework for understanding deviations from the eigenstate thermalization hypothesis (ETH) near ergodicity-breaking transitions. In this wo…
Scaling theory of fading ergodicity
Rafał Świętek, Miroslav Hopjan, Carlo Vanoni +2
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 expec…
Localization transitions in quadratic systems without quantum chaos
Mateusz Lisiecki, Lev Vidmar, Patrycja Łydżba
Transitions from delocalized to localized eigenstates have been extensively studied in both quadratic and interacting models. The delocalized regime typically exhibits diffusion an…
Fading ergodicity
Maksymilian Kliczkowski, Rafał Świętek, Miroslav Hopjan +1
Eigenstate thermalization hypothesis (ETH) represents a breakthrough in many-body physics since it allows to link thermalization of physical observables with the applicability of r…
Survival Probability, Particle Imbalance, and Their Relationship in Quadratic Models
Miroslav Hopjan, Lev Vidmar
We argue that the dynamics of particle imbalance in quadratic fermionic models is, for the majority of initial many-body product states in site occupation basis, virtually indistin…
Many-Body Localization in the Age of Classical Computing
Piotr Sierant, Maciej Lewenstein, Antonello Scardicchio +2
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 syst…
Quasicondensation and off-diagonal long-range order of hard-core bosons during a free expansion
A. Takács, S. Scopa, P. Calabrese +2
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-ran…
Spectral properties of three-dimensional Anderson model
Jan Šuntajs, Tomaž Prosen, Lev Vidmar
The three-dimensional Anderson model represents a paradigmatic model to understand the Anderson localization transition. In this work we first review some key results obtained for…