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Operator Hydrodynamics, OTOCs, and Entanglement Growth in Systems without Conservation Laws

- C. Keyserlingk, Tibor Rakovszky, F. Pollmann, S. Sondhi
- Physics
- 24 May 2017

Thermalization and scrambling are the subject of much recent study from the perspective of many-body quantum systems with locally bounded Hilbert spaces (`spin chains'), quantum field theory and… Expand

Ergodicity Breaking Arising from Hilbert Space Fragmentation in Dipole-Conserving Hamiltonians

- P. Sala, Tibor Rakovszky, R. Verresen, M. Knap, F. Pollmann
- Mathematics, PhysicsPhysical Review X
- 8 April 2019

We show that the combination of charge and dipole conservation---characteristic of fracton systems---leads to an extensive fragmentation of the Hilbert space, which in turn can lead to a breakdown of… Expand

Diffusive Hydrodynamics of Out-of-Time-Ordered Correlators with Charge Conservation

- Tibor Rakovszky, F. Pollmann, C. Keyserlingk
- PhysicsPhysical Review X
- 26 October 2017

The scrambling of quantum information in closed many-body systems has received considerable recent attention. Two useful measures of scrambling have emerged: the spreading of initially-local… Expand

Detecting topological invariants in chiral symmetric insulators via losses

- Tibor Rakovszky, J. Asbóth, A. Alberti
- Physics
- 29 November 2016

We show that the bulk winding number characterizing one-dimensional topological insulators with chiral symmetry can be detected from the displacement of a single particle, observed via losses. Losses… Expand

Hamiltonian truncation approach to quenches in the Ising field theory

- Tibor Rakovszky, M. Mesty'an, M. Collura, M. Kormos, G. Tak'acs
- Physics
- 4 July 2016

Sub-ballistic Growth of Rényi Entropies due to Diffusion.

- Tibor Rakovszky, F. Pollmann, C. V. von Keyserlingk
- PhysicsPhysical review letters
- 29 January 2019

TLDR

Statistical localization: From strong fragmentation to strong edge modes

- Tibor Rakovszky, P. Sala, R. Verresen, M. Knap, F. Pollmann
- PhysicsPhysical Review B
- 15 October 2019

Certain disorder-free Hamiltonians can be non-ergodic due to a \emph{strong fragmentation} of the Hilbert space into disconnected sectors. Here, we characterize such systems by introducing the notion… Expand

Dissipation-assisted operator evolution method for capturing hydrodynamic transport

- Tibor Rakovszky, C. Keyserlingk, F. Pollmann
- PhysicsPhysical Review B
- 10 April 2020

We introduce the dissipation-assisted operator evolution (DAOE) method for calculating transport properties of strongly interacting lattice systems in the high temperature regime. DAOE is based on… Expand

Localization, delocalization, and topological phase transitions in the one-dimensional split-step quantum walk

- Tibor Rakovszky, J. Asbóth
- Mathematics
- 18 May 2015

Quantum walks are promising for information processing tasks because on regular graphs they spread quadratically faster than random walks. Static disorder, however, can turn the tables: unlike random… Expand

Fractal, Logarithmic, and Volume-Law Entangled Nonthermal Steady States via Spacetime Duality

- Matteo Ippoliti, Tibor Rakovszky, V. Khemani
- PhysicsPhysical Review X
- 11 March 2021

The extension of many-body quantum dynamics to the non-unitary domain has led to a series of exciting developments, including new out-of-equilibrium entanglement phases and phase transitions. We show… Expand

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