102 citations · 547 across the 16 of their papers we have counts for
17 papers
Multibath Influence Matrices: Universal Scaling from Real-Time Dynamics
Matan Lotem, Michael Sonner, Valentin Link +2
Diverging timescales are the hallmark of critical dynamics and the bottleneck to their classical and quantum simulation. To tame this, we compress a spacetime tensor network: tempo…
Temporal entanglement transition in chaotic quantum many-body dynamics
Ilya Vilkoviskiy, Michael Sonner, Qi Camm Huang +3
Temporal entanglement (TE) of an influence matrix (IM) has been proposed as a measure of complexity of simulating dynamics of local observables in a many-body system. Foligno et al…
Steady-state dynamical mean field theory based on influence functional matrix product states
Mithilesh Nayak, Julian Thoenniss, Michael Sonner +2
We implement the recently developed influence functional matrix product states approach as impurity solver in equilibrium and nonequilibrium dynamical mean field theory (DMFT) calc…
Semi-group influence matrices for non-equilibrium quantum impurity models
Michael Sonner, Valentin Link, Dmitry A. Abanin
We introduce a framework for describing the real-time dynamics of quantum impurity models out of equilibrium which is based on the influence matrix approach. By replacing the dynam…
Scalable tomography of many-body quantum environments with low temporal entanglement
Ilia A. Luchnikov, Michael Sonner, Dmitry A. Abanin
Describing dynamics of a quantum system coupled to a complex many-body environment is a ubiquitous problem in quantum science. General non-Markovian environments are characterized…
Equilibrium Quantum Impurity Problems via Matrix Product State Encoding of the Retarded Action
Benedikt Kloss, Julian Thoenniss, Michael Sonner +6
In the dimensional imaginary-time path integral formulation of quantum impurity problems, the retarded action encodes the hybridization of the impurity with the bath. In this…
An efficient method for quantum impurity problems out of equilibrium
Julian Thoenniss, Michael Sonner, Alessio Lerose +1
We introduce an efficient method to simulate dynamics of an interacting quantum impurity coupled to non-interacting fermionic reservoirs. Viewing the impurity as an open quantum sy…
Noise-resilient Edge Modes on a Chain of Superconducting Qubits
Xiao Mi, Michael Sonner, Murphy Yuezhen Niu +125
Inherent symmetry of a quantum system may protect its otherwise fragile states. Leveraging such protection requires testing its robustness against uncontrolled environmental intera…
Overcoming the entanglement barrier in quantum many-body dynamics via space-time duality
Alessio Lerose, Michael Sonner, Dmitry A. Abanin
Describing non-equilibrium properties of quantum many-body systems is challenging due to high entanglement in the wavefunction. We describe evolution of local observables via the i…
Temporal entanglement, quasiparticles and the role of interactions
Giacomo Giudice, Giuliano Giudici, Michael Sonner +4
In quantum many-body dynamics admitting a description in terms of non-interacting quasiparticles, the Feynman-Vernon influence matrix (IM), encoding the effect of the system on the…
Scaling of temporal entanglement in proximity to integrability
Alessio Lerose, Michael Sonner, Dmitry A. Abanin
Describing dynamics of quantum many-body systems is a formidable challenge due to rapid generation of quantum entanglement between remote degrees of freedom. A promising approach t…
Influence functional of many-body systems: temporal entanglement and matrix-product state representation
Michael Sonner, Alessio Lerose, Dmitry A. Abanin
Feynman-Vernon influence functional (IF) was originally introduced to describe the effect of a quantum environment on the dynamics of an open quantum system. We apply the IF approa…
Thouless Energy Across Many-Body Localization Transition in Floquet Systems
Michael Sonner, Maksym Serbyn, Zlatko Papić +1
The notion of Thouless energy plays a central role in the theory of Anderson localization. We investigate the scaling of Thouless energy across the many-body localization (MBL) tra…
Characterizing many-body localization via exact disorder-averaged quantum noise
Michael Sonner, Alessio Lerose, Dmitry A. Abanin
Many-body localized (MBL) phases of disordered quantum many-particle systems have a number of unique properties, including failure to act as a thermal bath and protection of quantu…
Influence matrix approach to many-body Floquet dynamics
Alessio Lerose, Michael Sonner, Dmitry A. Abanin
In this work, we introduce an approach to study quantum many-body dynamics, inspired by the Feynman-Vernon influence functional. Focusing on a family of interacting, Floquet spin c…
Disorder and interaction in chiral chains: Majoranas vs complex fermions
Jonas F. Karcher, Michael Sonner, Alexander D. Mirlin
We study the low-energy physics of a chain of Majorana fermions in the presence of interaction and disorder, emphasizing the difference between Majoranas and conventional (complex)…
Multifractality of wave functions on a Cayley tree: From root to leaves
M. Sonner, K. S. Tikhonov, A. D. Mirlin
We explore the evolution of wave-function statistics on a finite Bethe lattice (Cayley tree) from the central site ("root") to the boundary ("leaves"). We show that the eigenfuncti…