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A general algebraic condition for the functional independence of 2n-1 constants of motion of an n-dimensional maximal superintegrable Hamiltonian system has been proved for an arbitrary finite n. This makes it possible to construct, in a…

Mathematical Physics · Physics 2009-11-07 A. Tegmen , A. Vercin

Pairing rotations are the low-energy excitations of finite superfluid systems, connecting systems that differ in their number of Cooper pairs. This paper presents a model-independent derivation of pairing rotations within an effective…

Nuclear Theory · Physics 2022-04-26 T. Papenbrock

We present a simple microscopic realization of a pseudo-Nambu-Goldstone (pNGB) boson Higgs scenario arising from the breaking of $SO(5) \rightarrow SO(4)$. The Higgs constituents are explicitly identified as well as the interactions…

High Energy Physics - Phenomenology · Physics 2015-07-20 Gero von Gersdorff , Eduardo Ponton , Rogerio Rosenfeld

We study the vacuum dynamics of pseudo-Nambu-Goldstone bosons (pNGBs) for $SO(N+1) \rightarrow SO(N)$ spontaneous and explicit symmetry breaking. We determine the magnitude of explicit symmetry breaking consistent with an EFT description of…

High Energy Physics - Phenomenology · Physics 2023-09-28 Fotis Koutroulis , Matthew McCullough , Marco Merchand , Stefan Pokorski , Kazuki Sakurai

Floquet (periodic) driving has recently emerged as a powerful technique for engineering quantum systems and realizing non-equilibrium phases of matter. A central challenge to stabilizing quantum phenomena in such systems is the need to…

Quantum Physics · Physics 2023-10-02 Guanghui He , Bingtian Ye , Ruotian Gong , Zhongyuan Liu , Kater W. Murch , Norman Y. Yao , Chong Zu

We consider a clean quantum system subject to strong periodic driving. The existence of a dominant energy scale, $h_D^x$, can generate considerable structure in an effective description of a system which, in the absence of the drive, is…

Other Condensed Matter · Physics 2021-04-14 Asmi Haldar , Diptiman Sen , Roderich Moessner , Arnab Das

The fate of the Nambu-Goldstone modes arising from spontaneous Lorentz violation is investigated. Using the vierbein formalism, it is shown that up to 10 Lorentz and diffeomorphism Nambu-Goldstone modes can appear and that they are…

High Energy Physics - Theory · Physics 2009-07-09 Robert Bluhm , Alan Kostelecky

We consider a scale invariant extension of the standard model (SM) with a combined breaking of conformal and electroweak symmetry in a strongly interacting hidden $SU(n_c)$ gauge sector with $n_f$ vector-like hidden fermions. The (pseudo)…

High Energy Physics - Phenomenology · Physics 2015-06-17 Yoshitaka Ametani , Mayumi Aoki , Hiromitsu Goto , Jisuke Kubo

We discuss the universal nature of relaxation in isolated many-body quantum systems subjected to global and strong periodic driving. Our rigorous Floquet analysis shows that the energy of the system remains almost constant up to an…

Statistical Mechanics · Physics 2017-03-20 Takashi Mori , Tomotaka Kuwahara , Keiji Saito

We propose a model of dark matter identified with a pseudo-Nambu-Goldstone boson in the dynamical supersymmetry breaking sector in a gauge mediation scenario. The dark matter particles annihilate via a below-threshold narrow resonance into…

High Energy Physics - Phenomenology · Physics 2010-05-12 Masahiro Ibe , Yu Nakayama , Hitoshi Murayama , Tsutomu T. Yanagida

The physics of long-range interacting quantum systems is currently living through a renaissance driven by the fast progress in quantum simulators. In these systems many paradigms of statistical physics do not apply and also the universal…

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 Goldstone theorem implies the appearance of an ungapped mode whenever a continuous global symmetry is spontaneously broken. In general it does not say anything about the precise form of the dispersion relation nor does it imply that…

High Energy Physics - Theory · Physics 2013-03-21 Irene Amado , Daniel Arean , Amadeo Jimenez-Alba , Karl Landsteiner , Luis Melgar , Ignacio Salazar Landea

Floquet-Magnus (FM) expansion theory is a powerful tool in periodically driven (Floquet) systems under high-frequency drives. In closed systems, it dictates that their stroboscopic dynamics under a time-periodic Hamiltonian is well captured…

Quantum Physics · Physics 2021-03-03 Kaoru Mizuta , Kazuaki Takasan , Norio Kawakami

Neutral atom arrays driven into Rydberg states constitute a promising approach for realizing programmable quantum systems. Enabled by strong interactions associated with Rydberg blockade, they allow for simulation of complex spin models and…

Quantum Physics · Physics 2024-08-07 Nazlı Uğur Köylüoğlu , Nishad Maskara , Johannes Feldmeier , Mikhail D. Lukin

We study a chain of periodically driven Rydberg atoms and identify a class of drive protocols for which the system exhibits emergent prethermal Bethe integrability at special drive frequencies. We provide a perturbative analytic expression…

Quantum Physics · Physics 2026-05-14 Saptadip Roy , Arnab Sen , Diptiman Sen , K. Sengupta

For a quantum many-body spin system undergoing spontaneous symmetry breaking with type-B Goldstone modes, a high degree of degeneracy arises in the ground state manifold. Generically, if this degeneracy is polynomial in system size, then it…

Strongly Correlated Electrons · Physics 2025-02-21 Huan-Qiang Zhou , Jesse J. Osborne , Qian-Qian Shi , Ian P. McCulloch

The concept of `Floquet engineering' relies on an external periodic drive to realise novel, effectively static Hamiltonians. This technique is being explored in experimental platforms across physics, including ultracold atoms, laser-driven…

For a classical system with long-range interactions, a soft mode exists whenever a stationary state spontaneously breaks a continuous symmetry of the Hamiltonian. Besides that, if the corresponding coordinate associated to the symmetry…

Statistical Mechanics · Physics 2020-09-23 Tarcisio M Rocha Filho , Bruno Marcos

We study collective modes of superfluid Bose gases in optical lattices at commensurate fillings. We focus on the vicinity of the quantum phase transition to the Mott insulator, where there exists the Higgs amplitude mode in addition to the…

Quantum Gases · Physics 2016-08-12 Kazuma Nagao , Ippei Danshita