9 papers
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…
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
RafaÅ ÅwiÄtek, 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…
Scaling theory of fading ergodicity
RafaÅ ÅwiÄtek, 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…
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…