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We revisit the fate of the skin modes in many-body non-Hermitian fermionic systems. Contrary to the single-particle case, the many-body ground state cannot exhibit an exponential localization of all eigenstates due to the Pauli exclusion…

Mesoscale and Nanoscale Physics · Physics 2023-05-05 Faisal Alsallom , Loïc Herviou , Oleg V. Yazyev , Marta Brzezińska

We use diagrammatic perturbation theory to construct an effective shell-model operator for the neutrinoless double-beta decay of 82Se. The starting point is the same Bonn-C nucleon-nucleon interaction that is used to generate the…

Nuclear Theory · Physics 2009-08-03 Jonathan Engel , Gaute Hagen

A phenomenological method based on the natural orbital representation is applied to construct the ground state one-body density matrix which describes correctly both density and momentum distributions in $^{4}He$, $^{16}O$ and $^{40}Ca$…

Within the standard model of many-body localization, i.e., the disordered chain of spinless fermions, we investigate how the interaction affects the many-body states in the basis of noninteracting localized Anderson states. From this…

Strongly Correlated Electrons · Physics 2018-03-14 Peter Prelovšek , Osor S. Barišić , Marcin Mierzejewski

This paper addresses the challenges of solving the quantum many-body problem, particularly within nuclear physics, through the configuration interaction (CI) method. Large-scale shell model calculations often become computationally…

Nuclear Theory · Physics 2025-07-17 Priyanka Choudhary , Chong Qi

It is argued that a typical many body energy eigenstate has a well defined thermodynamic entropy and that individual eigenstates possess thermodynamic characteristics analogous to those of generic isolated systems. We examine large systems…

Statistical Mechanics · Physics 2015-05-14 J. M. Deutsch

Many-body localization (MBL) of a disordered interacting boson system in one dimension is studied numerically at the filling faction one-half. The von Neumann entanglement entropy SvN is commonly used to detect the MBL phase transition but…

Disordered Systems and Neural Networks · Physics 2024-03-07 Jie Chen , Chun Chen , Xiaoqun Wang

The realization of efficient micro-machines built from active matter requires precise thermodynamic control far from equilibrium. Despite theoretical progress, the focus on single-parameter driving, coupled with strict theoretical…

Soft Condensed Matter · Physics 2026-03-18 Luke K. Davis

We introduce novel characterizations for many-body phase transitions between delocalized and localized phases based on the system's sensitivity to boundary conditions. In particular, we change boundary conditions from periodic to…

Strongly Correlated Electrons · Physics 2021-01-27 Mohammad Pouranvari , Shiuan-Fan Liou

We investigate eigenstate thermalization from the point of view of vanishing particle and heat currents between a few-body fermionic Hamiltonian prepared in one of its eigenstates and an external, weakly coupled Fermi-Dirac gas. The latter…

Quantum Physics · Physics 2020-07-01 Philippe Jacquod

We study scaling behavior and phase diagram of a PT-symmetric non-Hermitian Bose-Hubbard model. In the free interaction case, using both analytical and numerical approaches, the metric operator for many-particle is constructed. The derived…

Statistical Mechanics · Physics 2014-06-17 L. Jin , Z. Song

Localization in one-dimensional interacting systems can be caused by disorder potentials or non-Hermiticity. The former phenomenon is the many-body localization (MBL), and the latter is the many-body non-Hermitian skin effect (NHSE). In…

Disordered Systems and Neural Networks · Physics 2023-08-14 Yi-Cheng Wang , Kuldeep Suthar , H. H. Jen , Yi-Ting Hsu , Jhih-Shih You

We consider the time evolution of a quantized field in backgrounds that violate the vacuum stability (particle-creating backgrounds). Our aim is to study the exact form of the final quantum state (the density operator at a final instant of…

High Energy Physics - Theory · Physics 2011-08-26 S. P. Gavrilov , D. M. Gitman , J. L. Tomazelli

As recently manifested , the quench dynamics of isolated quantum systems consisting of a finite number of particles, is characterized by an exponential spreading of wave packets in the many-body Hilbert space. This happens when the…

Chaotic Dynamics · Physics 2020-03-23 Samy Mailoud , Fausto Borgonovi , Felix Izrailev

We demonstrate that the entanglement entropy area law for free fermion ground states and the corresponding volume law for highly excited states are related by a position-momentum duality, thus of the same origin. For a typical excited state…

Statistical Mechanics · Physics 2015-03-05 Hsin-Hua Lai , Kun Yang

The eigenvectors of the particle number operator in second quantization are characterized by the block sparsity of their matrix product state representations. This is shown to generalize to other classes of operators. Imposing block…

Numerical Analysis · Mathematics 2022-03-03 Markus Bachmayr , Michael Götte , Max Pfeffer

We uncover the exact athermal eigenstates in the Bose-Hubbard (BH) model with a three-body constraint, motivated by the exact construction of quantum many-body scar (QMBS) states in the $S=1$ $XY$ model. These states are generated by…

Quantum Gases · Physics 2024-01-19 Ryui Kaneko , Masaya Kunimi , Ippei Danshita

Much has been learned about universal properties of the eigenstate entanglement entropy for one-dimensional lattice models, which is described by a Hermitian Hamiltonian. While very less of it has been understood for non-Hermitian systems.…

Statistical Mechanics · Physics 2021-06-25 Ranjan Modak , Bhabani Prasad Mandal

In this paper, we show two kinds of entangled many body systems with special statistic properties. Firstly, an entangled fermions system with a pairwise entanglement between every two particles in the lowest energy energy level obeys the…

Statistical Mechanics · Physics 2015-07-03 Hua Bi Zeng

The simulation of quantum transport in a realistic, many-particle system is a nontrivial problem with no quantitatively satisfactory solution. While real-time propagation has the potential to overcome the shortcomings of conventional…

Mesoscale and Nanoscale Physics · Physics 2015-10-16 Justin E. Elenewski , Yanxiang Zhao , Hanning Chen