Toward Scalable **Many**-**Body** Calculations for Nuclear Open Quantum Systems
using the Gamow Shell Model

**many**-

**body**wave functions are precisely handled. Expand abstract.

**many**-

**body**states occurring at the limits of the nuclear chart. GSM is a configuration interaction model based on the use of the so-called Berggren basis, which contains bound, resonant and scattering states, so that inter-nucleon correlations are fully taken into account and the asymptotes of extended

**many**-

**body**wave functions are precisely handled. However, large complex symmetric matrices must be diagonalized in this framework, therefore the use of very powerful parallel machines is needed therein. In order to fully take advantage of their power, a 2D partitioning scheme using hybrid MPI/OpenMP parallelization has been developed in our GSM code. The specificities of the 2D partitioning scheme in the GSM framework will be described and illustrated with numerical examples. It will then be shown that the introduction of this scheme in the GSM code greatly enhances its capabilities.

10/10 relevant

arXiv

Many-**body** scar state intrinsic to periodically driven system: Rigorous
results

**many**-

**body**scar states in the Floquet eigenstates, by showing the explicit expressions of the wave functions. Expand abstract.

**many**-

**body**scar states in the Floquet eigenstates, by showing the explicit expressions of the wave functions. Using the underlying physical mechanism, various driven Hamiltonians with Floquet-scar states can be systematically engineered.

10/10 relevant

arXiv

Thouless time analysis of Anderson and **many**-**body** localization
transitions

**many**-

**body**systems with results for 3D and 5D Anderson models, we argue that the two-parameter scaling breaks down in the vicinity of the transition to the localized phase signalling subdiffusive dynamics. Expand abstract.

**many**-

**body**systems with results for 3D and 5D Anderson models, we argue that the two-parameter scaling breaks down in the vicinity of the transition to the localized phase signalling subdiffusive dynamics.

10/10 relevant

arXiv

Extracting **many**-**body** correlators of saturated gluons with precision from
inclusive photon+dijet final states in deeply inelastic scattering

**many**-

**body**correlators of saturated gluons and precise determination of the saturation scale $Q_{S,A}(x_{\rm Bj})$ at a future Electron-Ion Collider. An interesting feature of our NLO result is the structure of the violation of the soft gluon theorem in the Regge limit. Another is the appearance in gluon emission of time-like non-global logs which also satisfy JIMWLK RG evolution.

10/10 relevant

arXiv

Neural-network quantum states at finite temperature

**many**-

**body**density matrix is represented by a convolutional neural network with two input channels. Expand abstract.

**many**-

**body**quantum system using artificial neural networks. The variational function of the

**many**-

**body**density matrix is represented by a convolutional neural network with two input channels. We first prepare an infinite-temperature state, and the temperature is lowered by imaginary-time evolution. We apply this method to the one-dimensional Bose-Hubbard model and compare the results with those obtained by exact diagonalization.

4/10 relevant

arXiv

Many-**body** quantum dynamics and induced correlations of Bose polarons

**body**level that is imprinted as a density hump on the bosonic bath. Expand abstract.

**body**configurations while at strong repulsions their corresponding two-

**body**correlation patterns show a spatially delocalized behavior evincing the involvement of higher excited states. For attractive interspecies couplings, the impurities exhibit a tendency to localize at the origin and remarkably for strong attractions they experience a mutual attraction on the two-

**body**level that is imprinted as a density hump on the bosonic bath.

8/10 relevant

arXiv

Spectral decoupling in **many**-**body** quantum chaos

**many**-

**body**systems the late time dynamics of time-dependent correlation functions is captured by random matrix theory, specifically the energy eigenvalue statistics of the corresponding ensemble of disordered Hamiltonians. We find that late time correlation functions approximately factorize into a time-dependence piece which only depends on spectral statistics of the Hamiltonian ensemble, and a time-independent piece which only depends on the data of the constituent operators of the correlation function. We call this phenomenon "spectral decoupling," which signifies a dynamical onset of random matrix theory in correlation functions. A key diagnostic of spectral decoupling is $k$-invariance, which we refine and study in detail. Particular emphasis is placed on the role of symmetries, and connections between $k$-invariance, scrambling, and OTOCs. Disordered Pauli spin systems, as well as the SYK model and its variants, provide a rich source of disordered quantum

**many**-

**body**systems with varied symmetries, and we study $k$-invariance in these models with a combination of analytics and numerics.

10/10 relevant

arXiv

MCTDH-X: The multiconfigurational time-dependent Hartree method for indistinguishable particles software

**many**-

**body**basis... Expand abstract.

**many**-

**body**systems made of interacting indistinguishable particles. The MCTDH-X software represents a fairly general solver for the Schr\"{o}dinger equation and is thus applicable to a wide range of problems in the fields of atomic, optical, and molecular physics, light-matter interaction, and the correlated dynamics of electrons in condensed matters, atoms or molecules. The MCTDH-X software solves a set of non-linear coupled working equations that are obtained by applying the variational principle to the Schr\"{o}dinger equation using an ansatz for the wavefunction that is a time-dependent expansion in a set of time-dependent, fully symmetrized or fully anti-symmetrized

**many**-

**body**basis states. It is this time-dependence of the basis set, that enables MCTDH-X to deal with quantum dynamics at a superior accuracy as compared to exact diagonalization or other approaches with a static basis, where the number of necessary basis states typically grows drastically with time. The MCTDH-X software is hosted, documented, and distributed at http://ultracold.org.

4/10 relevant

arXiv

Quantum Simulation of Hyperbolic Space with Circuit Quantum Electrodynamics: From Graphs to Geometry

**many**-

**body**systems, quantum field theory in curved space, and quantum gravity. Expand abstract.

**many**-

**body**systems on hyperbolic lattices with nearest-neighbor hopping and local interactions can be mapped onto quantum field theories in continuous negatively curved space. The underlying lattices have recently been realized experimentally with superconducting resonators and therefore allow for a table-top quantum simulation of quantum physics in curved background. Our mapping provides a computational tool to determine observables of the discrete system even for large lattices, where exact diagonalization fails. As an application and proof of principle we quantitatively reproduce the ground state energy, spectral gap, and correlation functions of the noninteracting lattice system by means of analytic formulas on the Poincar\'{e} disk, and show how conformal symmetry emerges for large lattices. This sets the stage for studying interactions and disorder on hyperbolic graphs in the future. Our analysis also reveals in which sense discrete hyperbolic lattices emulate the continuous geometry of negatively curved space and thus can be used to resolve fundamental open problems at the interface of interacting

**many**-

**body**systems, quantum field theory in curved space, and quantum gravity.

4/10 relevant

arXiv

Self-averaging behavior at the metal-insulator transition of **many**-body
quantum systems out of equilibrium

**many**-

**body**quantum systems. Expand abstract.

**many**-

**body**quantum systems. Much attention has been devoted to these systems at equilibrium, but little is known about their self-averaging behavior out of equilibrium, which is the subject of this work. We consider two local and two non-local quantities in real space that are of great experimental and theoretical interest. In the metallic phase, we show that their self-averaging behavior is highly dependent on the observable itself and on the time scale, but the picture simplifies substantially as we approach localization. In this phase, the local quantities are self-averaging at any time, while the non-local ones are non-self-averaging at all time scales.

10/10 relevant

arXiv