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In this work, a novel method for using a set of electromagnetic quadrupole fields is presented to implement arbitrary unitary operators on a two-state quantum system of electrons. In addition to analytical derivations of the required…

Quantum Physics · Physics 2022-02-28 Stefan Löffler

The pairing interactions between electrons play an essential role in determining the properties in superconducting states. Recently, a plethora of unconventional superconducting states has been extensively explored, which often emerge owing…

Superconductivity · Physics 2024-05-08 Akimitsu Kirikoshi , Satoru Hayami

Multipole expansions depend on the coordinate system, so that coefficients of multipole moments can be set equal to zero by an appropriate choice of coordinates. Therefore, it is meaningless to say that a physical system has a nonvanishing…

Classical Physics · Physics 2009-11-13 Lior M. Burko

Many-body localization (MBL) describes a quantum phase where an isolated interacting system subject to sufficient disorder displays non-ergodic behavior, evading thermal equilibrium that occurs under its own dynamics. Previously, the…

We propose new dipole and quadrupole indices for interacting insulators with point group symmetries. The proposed indices are defined in terms of many-body quantum multipole operators combined with the generator of the point group symmetry.…

Strongly Correlated Electrons · Physics 2025-05-12 Yasuhiro Tada , Masaki Oshikawa

We propose a consistent approach to the definition of electric, magnetic, and toroidal multipole moments. Electric and magnetic fields are split into potential, vortex, and radiative terms, with the latter ones dropped off in the…

Classical Physics · Physics 2019-01-10 Yuri Krynytskyi , Andrij Rovenchak

Electric-dipole matrix elements for ns-n'p, nd-n'p, and 6d-4f transitions in Rb are calculated using a relativistic all-order method. A third-order calculation is also carried out for these matrix elements to evaluate the importance of the…

Atomic Physics · Physics 2009-11-10 M. S. Safronova , Carl J. Williams , Charles W. Clark

A formula for the corner charge in terms of the bulk quadrupole moment is derived for two-dimensional periodic systems. This is an analog of the formula for the surface charge density in terms of the bulk polarization. In the presence of an…

Strongly Correlated Electrons · Physics 2020-10-15 Haruki Watanabe , Seishiro Ono

The interaction of an electron with a local static charge distribution (e.g., an atom or molecule) is dominated at large distances by the radial 1/r Coulomb potential. The second order effect comes from the non-central electric dipole…

Quantum Physics · Physics 2023-02-08 A. D. Alhaidari , H. Bahlouli

We propose a non-commutative extension of the Pauli stabilizer formalism. The aim is to describe a class of many-body quantum states which is richer than the standard Pauli stabilizer states. In our framework, stabilizer operators are…

Quantum Physics · Physics 2015-06-11 Xiaotong Ni , Oliver Buerschaper , Maarten Van den Nest

Resta proposed a definition of the electric polarization in one-dimensional systems in terms of the ground-state expectation value of the large gauge transformation operator. Vanishing of the expectation value in the thermodynamic limit…

Statistical Mechanics · Physics 2018-04-26 Ryohei Kobayashi , Yuya O. Nakagawa , Yoshiki Fukusumi , Masaki Oshikawa

Isolated quantum systems with quenched randomness exhibit many-body localization (MBL), wherein they do not reach local thermal equilibrium even when highly excited above their ground states. It is widely believed that individual…

Disordered Systems and Neural Networks · Physics 2016-10-11 A. Chandran , A. Pal , C. R. Laumann , A. Scardicchio

We present the formalism for consistently transforming transition operators within the in-medium similarity renormalization group framework. We implement the operator transformation in both the equations-of-motion and valence-space…

Nuclear Theory · Physics 2017-10-04 N. M. Parzuchowski , S. R. Stroberg , P. Navrátil , H. Hergert , S. K. Bogner

We design dipolar quantum many-body Hamiltonians that will facilitate the realization of exotic quantum phases under current experimental conditions achieved for polar molecules. The main idea is to modulate both single-body potential…

We chart out the ground state phase diagram and demonstrate the presence of a many-body localized (MBL) phase for an experimentally realizable one-dimensional (1D) constrained dipole boson model in the presence of an Aubry-Andre (AA)…

Strongly Correlated Electrons · Physics 2018-10-31 Anirban Dutta , Subroto Mukerjee , K. Sengupta

Quantum multipole noise is defined as a family of creation and annihilation operators with commutation relations proportional to derivatives of delta function of difference of the times, $[c^-_n(t),c^+_n(\tau)]\approx \delta^{(n)}(\tau-t)$.…

Mathematical Physics · Physics 2015-09-03 Alexander Pechen

Cavity quantum electrodynamics of multipartite systems is studied in depth, which consist of an arbitrary number of emitters in interaction with an arbitrary number of cavity modes. The governing model is obtained by taking the full…

Quantum Physics · Physics 2015-09-30 Moslem Alidoosty Shahraki , Sina Ataollah Khorasani

In this article we study some classical aspects of Podolsky Electrodynamics in the static regime. We develop the multipole expansion for the theory in both the electrostatic and the magnetostatic cases. We also address the problem of…

High Energy Physics - Theory · Physics 2016-08-03 C. A. Bonin , B. M. Pimentel , P. H. Ortega

We overview recent developments of electronic orderings and associated cross correlations in condensed matter physics based on a complete set of multipole representations (electric, magnetic, electric toroidal, and magnetic toroidal…

Strongly Correlated Electrons · Physics 2024-12-06 Satoru Hayami , Hiroaki Kusunose

Many-body quantum systems in nonequilibrium remain one of the frontiers of many-body physics. While there has been significant advances in describing the short-time evolution of these systems using a variety of different numerical…

Quantum Physics · Physics 2021-01-05 Herbert F. Fotso , Eric Dohner , Alexander Kemper , James K. Freericks