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We demonstrate all-optical implementation of spin-orbit coupling (SOC) in a two-electron Fermi gas of $^{173}$Yb atoms by coupling two hyperfine ground states with a narrow optical transition. Due to the SU($N$) symmetry of the $^1$S$_0$…

Quantum Gases · Physics 2017-01-11 Bo Song , Chengdong He , Shanchao Zhang , Elnur Hajiyev , Wei Huang , Xiong-Jun Liu , Gyu-Boong Jo

The collective dipole mode is induced and measured in a spin-orbit (SO) coupled degenerate Fermi gas of $^{173}$Yb atoms. Using a differential optical Stark shift, we split the degeneracy of three hyperfine states in the ground manifold,…

Quantum Gases · Physics 2018-11-27 Shanchao Zhang , Chengdong He , Elnur Hajiyev , Zejian Ren , Bo Song , Gyu-Boong Jo

We describe the treatment of Rashba spin-orbit coupling (SOC) in interacting many-fermion systems within the auxiliary-field quantum Monte Carlo framework, and present a set of illustrative results. These include numerically exact…

Strongly Correlated Electrons · Physics 2019-06-10 Peter Rosenberg , Hao Shi , Shiwei Zhang

We study the optical response of a Mott Hubbard system in the framework of the half--filled Extended Hubbard Model using the Density Matrix Renormalization Group (DMRG) method. We discuss the appearance of excitonic features inside the…

Strongly Correlated Electrons · Physics 2007-05-23 S. S. Kancharla , C. J. Bolech

A numerical approach to ground-state dynamical correlation functions from Density Matrix Renormalization Group (DMRG) is developed. Using sum rules, moments of a dynamic correlation function can be calculated with DMRG, and with the moments…

Condensed Matter · Physics 2016-08-31 Hanbin Pang , H. Akhlaghpour , M. Jarrell

Brownian motion of a mobile impurity in a bath is affected by spin-orbit coupling (SOC). Here, we discuss a Caldeira-Leggett-type model that can be used to propose and interpret quantum simulators of this problem in cold Bose gases. First,…

Quantum Gases · Physics 2023-01-24 Areg Ghazaryan , Alberto Cappellaro , Mikhail Lemeshko , Artem G. Volosniev

Configuration-interaction-type calculations on electronic and vibrational structure are often the method of choice for the reliable approximation of many-particle wave functions and energies. The exponential scaling, however, limits their…

Computational Physics · Physics 2019-05-24 Alberto Baiardi , Christopher J. Stein , Vincenzo Barone , Markus Reiher

We extend the spin-adapted density matrix renormalization group (DMRG) algorithm of McCulloch and Gulacsi [Europhys. Lett.57, 852 (2002)] to quantum chemical Hamiltonians. This involves two key modifications to the non-spin-adapted DMRG…

Chemical Physics · Physics 2014-08-22 Sandeep Sharma , Garnet Kin-Lic Chan

We present an extensive study of the two-impurity Kondo problem for spin-1 adatoms on square lattice using an exact canonical transformation to map the problem onto an effective one-dimensional system that can be numerically solved using…

Strongly Correlated Electrons · Physics 2018-01-10 A. Allerdt , R. Zitko , A. E. Feiguin

The density matrix renormalization group (DMRG) method is applied to the interaction round a face (IRF) model. When the transfer matrix is asymmetric, singular-value decomposition of the density matrix is required. A trial numerical…

Condensed Matter · Physics 2009-10-28 Tomotoshi Nishino

A tight binding model of electrons interacting via bare Coulomb repulsion is numerically investigated by use of the Density Matrix Renormalization Group method which we prove applicable also to very long range potentials. From the analysis…

Strongly Correlated Electrons · Physics 2009-10-31 G. Fano , F. Ortolani , A. Parola , L. Ziosi

A Bose gas under the effect of Raman Spin-Orbit Coupling (SOC) is analyzed using the Discrete Spin T-moves Diffusion Monte Carlo method. By computing the energy as well as the static structure factor and the superfluid fraction of the…

Quantum Gases · Physics 2020-04-17 Juan Sánchez-Baena , Jordi Boronat Medico , Ferran Mazzanti Castrillejo

An efficient density matrix renormalization group (DMRG) algorithm is presented and applied to Y-junctions, systems with three arms of $n$ sites that meet at a central site. The accuracy is comparable to DMRG of chains. As in chains, new…

Strongly Correlated Electrons · Physics 2016-03-23 Manoranjan Kumar , Aslam Parvej , Simil Thomas , S. Ramasesha , Z. G. Soos

We present a new model for the study of spin-orbit coupling in interacting quasi-one-dimensional systems and solve it exactly to find the spectral properties of such systems. We show that the combination of spin-orbit coupling and…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 A. V. Moroz , K. V. Samokhin , C. H. W. Barnes

The influence of spin-orbit interactions on the Kondo effect has been under debate recently. Studies conducted recently on a system composed by an Anderson impurity on a 2DEG with Rashba spin-orbit have been shown that it can enhance or…

Strongly Correlated Electrons · Physics 2016-09-14 G. R. de Sousa , Joelson F. Silva , E. Vernek

We realize the dynamical 1D spin-orbit-coupling (SOC) of a Bose-Einstein condensate confined within an optical cavity. The SOC emerges through spin-correlated momentum impulses delivered to the atoms via Raman transitions. These are…

Quantum Gases · Physics 2019-10-23 Ronen M. Kroeze , Yudan Guo , Benjamin L. Lev

In this letter we propose a method to realize a kind of spin-orbit coupling in ultracold Bose and Fermi gases whose format and strength depend on density of atoms. Our method combines two-photon Raman transition and periodical modulation of…

Quantum Gases · Physics 2021-06-23 Peng Xu , Tianshu Deng , Wei Zheng , Hui Zhai

There has been recent interest in the deployment of ab initio density matrix renormalization group computations on high performance computing platforms. Here, we introduce a reformulation of the conventional distributed memory ab initio…

Chemical Physics · Physics 2021-06-24 Huanchen Zhai , Garnet Kin-Lic Chan

We present the first implementation of the relativistic quantum chemical two- and four-component density matrix renormalization group algorithm that includes a variational description of scalar-relativistic effects and spin-orbit coupling.…

Chemical Physics · Physics 2014-06-03 Stefan Knecht , Ors Legeza , Markus Reiher

State-of-the-art many-body wave function techniques rely on heuristics to achieve high accuracy at an attainable cost to solve the many-body Schr\"odinger equation. By far the most common property used to assess accuracy has been the total…

Chemical Physics · Physics 2022-11-30 Shunyue Yuan , Yueqing Chang , Lucas K. Wagner