62 citations · 190 across the 15 of their papers we have counts for
10 papers · 1 filter
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…
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…
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…
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…
Critical quantum dynamics of observables at eigenstate transitions
Simon Jiricek, Miroslav Hopjan, Patrycja Łydżba +2
It is an outstanding goal to unveil the key features of quantum dynamics at eigenstate transitions. Focusing on quadratic fermionic Hamiltonians that exhibit localization transitio…
Scale-invariant critical dynamics at eigenstate transitions
Miroslav Hopjan, Lev Vidmar
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). Bu…
Similarity between a many-body quantum avalanche model and the ultrametric random matrix model
Jan Šuntajs, Miroslav Hopjan, Wojciech De Roeck +1
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…