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It is shown that the atom-molecule collision problem in the presence of an external electric field can be solved using the total angular momentum representation in the body-fixed coordinated frame, leading to a computationally efficient…

Chemical Physics · Physics 2012-09-17 T. V. Tscherbul

We show that the cross sections for molecule - molecule collisions in the presence of an external field can be computed efficiently using a total angular momentum basis, defined either in the body-fixed frame or in the space-fixed…

Atomic Physics · Physics 2012-09-17 Y. V. Suleimanov , T. V. Tscherbul , R. V. Krems

The effects of hyperfine structure on ultracold molecular collisions in external fields are largely unexplored due to major computational challenges associated with rapidly proliferating hyperfine and rotational channels coupled by highly…

Atomic Physics · Physics 2023-11-28 Timur V. Tscherbul , Jose P. D'Incao

Rigorous quantum scattering calculations on ultracold molecular collisions in external fields present an outstanding computational problem due to strongly anisotropic atom-molecule interactions that depend on the relative orientation of the…

Atomic Physics · Physics 2020-12-03 Masato Morita , Jacek Kłos , Timur V. Tscherbul

We present an accurate quantum mechanical study of molecule-molecule collisions in the presence of a magnetic field. The work focusses on the analysis of elastic scattering and spin relaxation in collisions of O2(3Sigma_g) molecules at cold…

Atomic Physics · Physics 2012-02-06 T. V. Tscherbul , Yu. V. Suleimanov , V. Aquilanti , R. V. Krems

This paper describes a very general approach to the calculation of the Zeeman splitting effect produced by an external magnetic field on the rotational levels of diatomic molecules. The method is valid for arbitrary values of the total…

Astrophysics · Physics 2009-11-13 A. Asensio Ramos , J. Trujillo Bueno

Cold molecules are important for many applications, from fundamental precision measurements, quantum information processing, quantum-controlled chemistry, to understanding the cold interstellar medium. Molecular ions are known to be cooled…

We present expressions demonstrating that collisional decoherence of ultracold atoms or molecules in a coherent superposition of non-degenerate quantum states is suppressed when both the real and imaginary parts of the scattering lengths…

Quantum Physics · Physics 2012-07-26 Jie Cui , Roman V. Krems

We describe a new implementation of magnetic collider for investigating cold collisions between ultracold atomic clouds in different spin states, and we use this to investigate scattering involving both even and odd order partial waves. Our…

Other Condensed Matter · Physics 2007-05-23 Angela S. Mellish , Niels Kjaergaard , Paul S. Julienne , Andrew C. Wilson

A new technique has been developed to calculate scattering of spin-1/2 and spin-0 particles. The so called momentum-helicity basis states are constructed from the helicity and the momentum states, which are not expanded in the angular…

Nuclear Theory · Physics 2015-05-18 I. Abdulrahman , I. Fachruddin

An intriguing phenomenon in molecular collisions is the occurrence of scattering resonances, which originate from bound and quasi-bound states supported by the interaction potential at low collision energies. The resonance effects in the…

We calculate the cross sections for elastic scattering and Zeeman relaxation in binary collisions of molecules in the ro-vibrational ground state of a $^2\Sigma$ electronic state and the Zeeman state with the electron spin projection…

Chemical Physics · Physics 2015-06-16 Jie Cui , Roman V. Krems

It is known that the longitudinal and transverse excitation modes can exist in the vicinity of a quantum critical point in the ordered phase of quantum magnetic systems. The total moment sum rule for such systems is derived on the basis of…

Strongly Correlated Electrons · Physics 2020-12-04 Masashige Matsumoto

We explore the total cross section of ground state polar molecules in an electric field at various energies, focusing on RbCs and RbK. An external electric field polarizes the molecules and induces strong dipolar interactions leading to…

Atomic Physics · Physics 2009-11-13 Christopher Ticknor

We investigate the collisional stability of magnetically trapped ultracold molecules, taking into account the influence of magnetic fields. We compute elastic and spin-state-changing inelastic rate constants for collisions of the prototype…

Quantum Physics · Physics 2009-11-07 Alessandro Volpi , John L. Bohn

Nonlinear magnetic interactions provide access to complex quantum spin dynamics and thus enable the study of intriguing physical phenomena. However, these interactions are often dominated by the linear Zeeman effect, which can complicate…

We present an efficient method for rigorous quantum calculations of cross sections for atom-molecule reactive scattering in the presence of a dc electric field. The wavefunction of the reaction complex is expanded in an overcomplete set of…

Chemical Physics · Physics 2026-05-07 Timur V. Tscherbul , Roman V. Krems

We extend state-to-state chemistry to a realm where besides vibrational, rotational and hyperfine quantum states magnetic quantum numbers are also resolved. For this, we make use of the Zeeman effect which energetically splits levels of…

Atomic Physics · Physics 2019-12-25 Joschka Wolf , Markus Deiß , Johannes Hecker Denschlag

We present an efficient new computational method for calculating the binding energies of the bound states of ultracold alkali-metal dimers in the presence of magnetic fields. The method is based on propagation of coupled differential…

Chemical Physics · Physics 2009-11-13 Jeremy M. Hutson , Eite Tiesinga , Paul S. Julienne

Precise control over rotational angular momentum is at the heart of recent advances in quantum chemistry, quantum simulation, and quantum computation with ultracold bialkali molecules. Each rotational state comprises a rich manifold of…

Atomic Physics · Physics 2025-11-11 Tom R. Hepworth , Simon L. Cornish , Philip D. Gregory
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