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The multichannel quantum defect theory (MQDT) in combination with the frame transformation (FT) approach is applied to model the Fano-Feshbach resonances measured for $^{7}$Li$^{87}$Rb and $^{6}$Li$^{87}$Rb [Marzok {\it et al.} Phys. Rev. A…

Atomic Physics · Physics 2015-05-20 Jesús Pérez-Ríos , Sourav Dutta , Yong P. Chen , Chris H. Greene

We extend Multichannel Quantum Defect Theory (MQDT) to ultracold collisions involving high partial wave quantum numbers $L$. This requires a careful standardization of the MQDT reference wave functions at long range to ensure their linear…

Atomic Physics · Physics 2015-06-12 Brandon P. Ruzic , Chris H. Greene , John L. Bohn

As a physically motivated and computationally simple model for cold atomic and molecular collisions, the multichannel quantum defect theory (MQDT) with frame transformation (FT) formalism provides an analytical treatment of scattering…

Multichannel quantum defect theory (MQDT) has been widely applied to resonant and non-resonant scattering in a variety of atomic collision processes. In recent years, the method has been applied to cold collisions with considerable success,…

Atomic Physics · Physics 2015-06-22 Jisha Hazra , Brandon P. Ruzic , N. Balakrishnan , John L. Bohn

We present a multichannel quantum-defect theory for magnetic Feshbach resonances in the interaction of two heteronuclear group I atoms. The theory provides a unified and a uniform description of resonances in all partial waves, and enables…

Atomic Physics · Physics 2015-06-19 Constantinos Makrides , Bo Gao

The multichannel quantum defect theory (MQDT) can be reinterpreted as a quantum Poincare map in representation of angular momentum. This has two important implications: we have a paradigm of a true quantum Poincare map without…

chao-dyn · Physics 2016-08-31 F. Leyvraz , R. A. Mendez-Sanchez , M. Lombardi , T. H. Seligman

We present a quantum-defect theory (QDT) for the $-1/r^4$ type of long-range potential, as a foundation for a systematic understanding of charge-neutral quantum systems such as ion-atom, ion-molecule, electron-atom, and positron-atom…

Atomic Physics · Physics 2014-02-18 Bo Gao

Multichannel Quantum Defect Theory (MQDT) is shown to be capable of producing quantitatively accurate results for low-energy atom-molecule scattering calculations. With a suitable choice of reference potential and short-range matching…

Atomic Physics · Physics 2015-03-19 James F. E. Croft , Alisdair O. G. Wallis , Jeremy M. Hutson , Paul S. Julienne

We present a general formulation of multichannel quantum-defect theory (MQDT) for anisotropic long-range potentials. The theory unifies the treatment of atomic and molecular interactions of all types, and greatly expands the set of…

Atomic Physics · Physics 2020-08-19 Bo Gao

We apply quantum defect theory to study low energy ground state atomic collisions including aligned dipole interactions such as those induced by an electric field. Our results show that coupled even ($l$) relative orbital angular momentum…

Quantum Physics · Physics 2009-11-07 B. Deb , L. You

The multichannel generalization of the theory of spectral, scattering and decay control is presented. New universal algorithms of construction of complex quantum systems with given properties are suggested. Particularly, transformations of…

Quantum Physics · Physics 2009-11-07 V. M. Chabanov , B. N. Zakhariev , I. V. Amirkhanov

We show that multichannel quantum defect theory (MQDT) can be applied successfully as an efficient computational method for cold molecular collisions in Li+NH, which has a deep and strongly anisotropic interaction potential. In this…

Chemical Physics · Physics 2013-05-10 James F. E. Croft , Jeremy M. Hutson

Quantum defect embedding theory (QDET) is a many-body embedding method designed to describe condensed systems with correlated electrons localized within a given region of space, for example spin defects in semiconductors and insulators.…

Materials Science · Physics 2025-08-28 Siyuan Chen , Victor Wen-zhe Yu , Yu Jin , Marco Govoni , Giulia Galli

High partial-wave ($l\ge2$) Feshbach resonance (FR) in an ultracold mixture of $^{85}$Rb-$^{87}$Rb atoms is investigated experimentally aided by a partial-wave insensitive analytic multichannel quantum-defect theory (MQDT). Two "broad"…

Quantum Gases · Physics 2017-12-06 Yue Cui , Chuyang Shen , Min Deng , Shen Dong , Cheng Chen , Rong Lü , Bo Gao , Meng Khoon Tey , Li You

We extend the powerful formalism of multichannel quantum defect theory combined with a frame transformation to ultracold atom-molecule collisions in magnetic fields. By solving the coupled-channel equations with hyperfine and Zeeman…

Chemical Physics · Physics 2024-09-10 Masato Morita , Paul Brumer , Timur V. Tscherbul

Long range dipole-dipole correlation in a ferromagnetic sample can be treated in terms of collective excitations of the system as a whole. Ferrite samples with linear dimensions smaller than the dephasing length, but still much larger than…

Optics · Physics 2015-06-17 E. O. Kamenetskii , G. Vaisman , R. Shavit

We provide a comprehensive comparison of a coupled channels calculation, the asymptotic bound state model (ABM), and the multichannel quantum defect theory (MQDT). Quantitative results for $^6$Li -$^{133}$Cs are presented and compared to…

Atomic clusters attached to a low-dimensional system, called Fano defects, produce rich wave interferences. In this work, we analytically found an enhanced thermoelectric figure-of-merit (ZT) in periodic atomic chains with Fano defects,…

Mesoscale and Nanoscale Physics · Physics 2018-06-08 J. Eduardo González , Vicenta Sánchez , Chumin Wang

We employ a recently developed quantization scheme for quasinormal modes (QNMs) to study a nonperturbative open cavity-QED system consisting of a hybrid metal-dielectric resonator coupled to a quantum emitter. This hybrid cavity system…

Mesoscale and Nanoscale Physics · Physics 2020-09-23 Sebastian Franke , Marten Richter , Juanjuan Ren , Andreas Knorr , Stephen Hughes

We first show that quantum resonant states observe particle number conservation and hence are consistent with the probabilistic interpretation of quantum mechanics. We then present for a class of quantum open systems, a resonant-state…

Mesoscale and Nanoscale Physics · Physics 2010-11-04 Naomichi Hatano
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