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Hamiltonians describing the relativistic quantum dynamics of a particle with an arbitrary spin are shown to exhibit a supersymmetric structure when the even and odd elements of the Hamiltonian commute. For such supersymmetric Hamiltonians…

Quantum Physics · Physics 2020-09-07 Georg Junker

The spin of the neutron allows neutron scattering to reveal the magnetic structure and dynamics of materials over nanometre length scales and picosecond timescales. Neutron scattering is particularly in demand in order to understand…

Strongly Correlated Electrons · Physics 2007-05-23 William J. L. Buyers , Zahra Yamani

Supersymmetry is assumed to be a basic symmetry of the world in many high energy theories, but none of the super partners of any known elementary particle has been observed yet. We argue that supersymmetry can also be realized and studied…

Other Condensed Matter · Physics 2008-11-26 Yue Yu , Kun Yang

The class of relativistic spin particle models reveals the `quantization' of parameters already at the classical level. The special parameter values emerge if one requires the maximality of classical global continuous symmetries. The same…

High Energy Physics - Theory · Physics 2009-10-31 Mikhail Plyushchay

In quantum mechanics, supersymmetry (SUSY) posits an equivalence between two elementary degrees of freedom, bosons, and fermions defined by local rules. Here we apply it to find connections between bosonic and fermionic lattice models in…

Strongly Correlated Electrons · Physics 2024-12-16 Krishanu Roychowdhury , Jan Attig , Simon Trebst , Michael J. Lawler

Supersymmetry is a symmetry between a boson and a fermion. Although there is no apparent supersymmetry in nature, its mathematical consistency and appealing property have led many people to believe that supersymmetry may exist in nature in…

Strongly Correlated Electrons · Physics 2008-11-26 Sung-Sik Lee

The single-particle spectrum of deformed shell-model states in nuclei, is shown to exhibit a supersymmetric pattern. The latter involves deformed pseudospin doublets and intruder levels. The underlying supersymmetry is associated with the…

Nuclear Theory · Physics 2011-02-18 A. Leviatan

Shell-model states involving several pseudospin doublets and ``intruder'' levels in nuclei, are combined into larger multiplets. The corresponding single-particle spectrum exhibits a supersymmetric pattern whose origin can be traced to the…

Nuclear Theory · Physics 2017-08-23 A. Leviatan

Supersymmetry, a new symmetry that relates bosons and fermions in particle physics, still escapes observation. Search for supersymmetry is one of the main aims of the Large Hadron Collider. The other possible manifestation of supersymmetry…

High Energy Physics - Phenomenology · Physics 2012-12-12 A. V. Gladyshev , D. I. Kazakov

We investigate a specific limit of the one-dimensional non-Hermitian Hubbard Hamiltonian with complex interactions. In this framework, fermions with different spin quantum numbers are mapped onto two distinct spin species, resulting in two…

Statistical Mechanics · Physics 2024-12-30 Doru Sticlet , Cătălin Paşcu Moca , Balázs Dóra

Supersymmetry is one of the most important and indispensable ingredients of modern theoretical physics. However, the absence, at least at the time of publishing this review, of experimental verification of supersymmetry in elementary…

High Energy Physics - Theory · Physics 2025-07-04 V. P. Berezovoj , A. J. Nurmagambetov

In this work we investigate properties of a supersymmetric extension of the quantum spherical model from an off-shell formulation directly in the superspace. This is convenient to safely handle the constraint structure of the model in a way…

Statistical Mechanics · Physics 2018-12-21 L. G. dos Santos , L. V. T. Tavares , P. F. Bienzobaz , Pedro R. S. Gomes

Classical nonlinear theories are highly successful in describing far-from-equilibrium dynamics of magnets, encompassing phenomena such as parametric resonance, ultrafast switching, and even chaos. However, at ultrashort length and time…

Mesoscale and Nanoscale Physics · Physics 2025-12-15 Lukas Körber , Pim Coenders , Johan H. Mentink

We study the imprint of higher spin supermultiplets on cosmological correlators, namely the non-Gaussianity of the cosmic microwave background. Supersymmetry is used as a guide to introduce the contribution of fermionic higher spin…

High Energy Physics - Theory · Physics 2019-10-25 Stephon Alexander , S. James Gates , Leah Jenks , K. Koutrolikos , Evan McDonough

Quasi-particle picture in a magnetic field is pursued for dynamical spin and charge correlation functions of the one-dimensional supersymmetric t-J model with inverse-square interaction. With use of exact diagonalization and the asymptotic…

Strongly Correlated Electrons · Physics 2009-10-31 Yasuhiro Saiga , Yoshio Kuramoto

The XX spin-chain with non-Hermitian diagonal boundary conditions is shown to be quasi-Hermitian for special values of the boundary parameters. This is proved by explicit construction of a new inner product employing a "quasi-fermion"…

Mathematical Physics · Physics 2012-07-20 Christian Korff

The elementary excitations of quantum spin systems have generally the nature of weakly interacting bosonic quasi-particles, generated by local operators acting on the ground state. Nonetheless in one spatial dimension the nature of the…

Strongly Correlated Electrons · Physics 2024-07-23 Saverio Bocini , Filippo Caleca , Fabio Mezzacapo , Tommaso Roscilde

Supersymmetry, originally proposed in particle physics, refers to a dual relation that connects fermionic and bosonic degrees of freedom in a system. Recently, there has been considerable interest in applying the idea of supersymmetry to…

Quantum Physics · Physics 2022-03-15 Zongping Gong , Robert H. Jonsson , Daniel Malz

The Standard Model may be included within a supersymmetric theory, postulating new sparticles that differ by half-a-unit of spin from their standard model partners, and by a new quantum number called R-parity. The lightest one, usually a…

High Energy Physics - Phenomenology · Physics 2016-10-12 Pierre Fayet

Supersymmetric models are grounded in the intriguing concept of a hypothetical symmetry that relates bosonic and fermionic particles. This symmetry has profound implications, offering valuable extensions to the Standard Model of particle…

High Energy Physics - Lattice · Physics 2024-11-25 Emanuele Mendicelli , David Schaich
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