62 citations · 190 across the 15 of their papers we have counts for
17 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…
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…
Scale-Invariant Survival Probability at Eigenstate Transitions
Miroslav Hopjan, Lev Vidmar
Understanding quantum phase transitions in highly excited Hamiltonian eigenstates is currently far from being complete. It is particularly important to establish tools for their ch…
Real-time non-adiabatic dynamics in the one-dimensional Holstein model: Trajectory-based vs exact methods
Michael ten Brink, Stefan Gräber, Miroslav Hopjan +4
We benchmark a set of quantum-chemistry methods, including multitrajectory Ehrenfest, fewest-switches surface-hopping, and multiconfigurational-Ehrenfest dynamics, against exact qu…
Detecting delocalization-localization transitions from full density distributions
Miroslav Hopjan, Giuliano Orso, Fabian Heidrich-Meisner
Characterizing the delocalization transition in closed quantum systems with a many-body localized phase is a key open question in the field of nonequilibrium physics. We exploit th…
Scaling properties of a spatial one-particle density-matrix entropy in many-body localized systems
Miroslav Hopjan, Fabian Heidrich-Meisner, Vincenzo Alba
We investigate a spatial subsystem entropy extracted from the one-particle density matrix (OPDM) in one-dimensional disordered interacting fermions that host a many-body localized…
Many-body localization from a one-particle perspective in the disordered 1D Bose-Hubbard model
Miroslav Hopjan, Fabian Heidrich-Meisner
We numerically investigate 1D Bose-Hubbard chains with onsite disorder by means of exact diagonalization. A primary focus of our work is on characterizing Fock-space localization i…