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The main objective of a statistical mechanical calculation is drawing the phase diagram of a many-body system. In this respect, discrete systems offer the clear advantage over continuum systems of an easier enumeration of microstates,…

Quantum Gases · Physics 2022-04-01 Davide DeGregorio , Santi Prestipino

Quantum chaos of many-body systems has been swiftly developing into a vibrant research area at the interface between various disciplines, ranging from statistical physics to condensed matter to quantum information and to cosmology. In…

Quantum Physics · Physics 2022-11-23 Klaus Richter , Juan Diego Urbina , Steven Tomsovic

Ever since the first observation of Bose-Einstein condensation in the nineties, ultracold quantum gases have been the subject of intense research, providing a unique tool to understand the behavior of matter governed by the laws of quantum…

Quantum Gases · Physics 2021-03-18 Santi Prestipino

We explore the zero-temperature behavior of an assembly of bosons interacting through a zero-range, attractive potential. Because the two-body interaction admits a bound state, the many-body model is best described by a Hamiltonian that…

Other Condensed Matter · Physics 2011-11-10 George E. Cragg , Arthur K. Kerman

We theoretically analyze the interactions and decay rates for atoms dressed by multiple laser fields to strongly interacting Rydberg states using a quantum master equation approach. In this framework a comparison of two-level and…

Atomic Physics · Physics 2016-01-26 S. Helmrich , A. Arias , N. Pehoviak , S. Whitlock

The interplay of topology and disorder in quantum dynamics has recently attracted significant attention across diverse platforms, including solid-state devices, ultracold atoms, and photonic systems. Here, we report on a topological…

We propose an experimental protocol for using cold atoms to create and probe quantum dimer models, thereby exploring the Pauling-Anderson vision of a macroscopic collection of resonating bonds. This process can allow the study of exotic…

Quantum Gases · Physics 2019-04-25 Bhuvanesh Sundar , Todd C. Rutkowski , Erich J. Mueller , Michael J. Lawler

Symmetries play a crucial role in understanding phases of matter and the transitions between them. Theoretical investigations of quantum models with SU($N$) symmetry have provided important insights into many-body phenomena. However, these…

Quantum Gases · Physics 2024-12-20 Eduardo Ibarra-García-Padilla , Sayan Choudhury

Random electron systems show rich phases such as Anderson insulator, diffusive metal, quantum and anomalous quantum Hall insulator, Weyl semimetal, as well as strong/weak topological insulators. Eigenfunctions of each matter phase have…

Disordered Systems and Neural Networks · Physics 2016-11-21 Tomoki Ohtsuki , Tomi Ohtsuki

We study the effect of interactions on the properties of a model 2D topological Kondo insulator phase. Loosely motivated by recent proposals where graphene is hybridized with impurity bands from heavy adatoms with partially filled d-shells,…

Strongly Correlated Electrons · Physics 2015-06-17 Jason Iaconis , Leon Balents

Heavy fermion materials are compounds in which localized $f$-orbitals hybridize with delocalized $d$ ones, leading to quasiparticles with large renormalized masses. The presence of strongly correlated $f$-electrons at the Fermi level may…

Strongly Correlated Electrons · Physics 2023-03-22 Wiliam S. Oliveira , Thereza Paiva , Richard T. Scalettar , Natanael C. Costa

Ultracold bosonic atoms trapped in a two-leg ladder pierced by a magnetic field provide a minimal and quasi-one-dimensional instance to study the interplay between orbital magnetism and interactions. Using time-dependent…

Quantum Gases · Physics 2018-01-12 Marcello Calvanese Strinati , Fabrice Gerbier , Leonardo Mazza

We study a system of a few ultracold bosons loaded into the states with orbital angular momentum $l=1$ of a one-dimensional staggered lattice of rings. Local eigenstates with winding numbers $+l$ and $-l$ form a Creutz ladder with a real…

We study the resonant tunneling effect in a many-body Wannier-Stark system, realized by ultracold bosonic atoms in an optical lattice subjected to an external Stark force. The properties of the many-body system are effectively described in…

Quantum Gases · Physics 2014-01-08 C. A. Parra-Murillo , S. Wimberger

There has been considerable interest in the disordered Bose Hubbard model (BHM) in recent years, particularly in the context of thermalization and many-body localization. We develop a two-particle irreducible (2PI) strong-coupling approach…

Quantum Gases · Physics 2024-01-10 Ali Mokhtari-Jazi , Matthew R. C. Fitzpatrick , Malcolm P. Kennett

Schrieffer-Wolff transformation is one of the very important transformations in the study of quantum many body physics. It is used to arrive at the low energy effective hamiltonian of Quantum many-body hamiltonians, which are not generally…

Strongly Correlated Electrons · Physics 2018-12-20 Rukhsan Ul Haq , Sachin Satish Bharadwaj

We study quantum phase transitions of three-dimensional disordered systems in the chiral classes (AIII and BDI) with and without weak topological indices. We show that the systems with a nontrivial weak topological index universally exhibit…

Disordered Systems and Neural Networks · Physics 2023-08-03 Zhenyu Xiao , Kohei Kawabata , Xunlong Luo , Tomi Ohtsuki , Ryuichi Shindou

We consider an analytic way to make the interacting N-body problem tractable by using harmonic oscillators in place of the relevant two-body interactions. The two body terms of the N-body Hamiltonian are approximated by considering the…

Quantum Gases · Physics 2012-05-16 J. R. Armstrong , N. T. Zinner , D. V. Fedorov , A. S. Jensen

Spinor condensates have proven to be a rich area for probing many-body phenomena richer than that of an ultracold gas consisting of atoms restricted to a single spin state. In the strongly correlated regime, the physics controlling the…

Quantum Physics · Physics 2014-12-30 V. E. Colussi , Chris H. Greene , J. P. D'Incao

Over the past two decades quantum engineering has made significant advances in our ability to create genuine quantum many-body systems using ultracold atoms. In particular, some prototypical exactly solvable Yang-Baxter systems have been…

Quantum Gases · Physics 2022-10-25 Xi-Wen Guan , Peng He