137 citations · 143 across the 17 of their papers we have counts for
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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…
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…
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…
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…