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A multi-component electron model on a lattice is constructed whose ground state exhibits a spontaneous ordering which follows the rule of map-coloring used in the solution of the four color problem. The number of components is determined by…

Strongly Correlated Electrons · Physics 2007-05-23 Masanori Yamanaka , Akinori Tanaka

We study the color randomization of two-gluon states produced after splitting of a primary fast gluon in the quark-gluon plasma. We find that for the LHC conditions the color randomization of the $gg$ pairs is rather slow. At jet energies…

High Energy Physics - Phenomenology · Physics 2019-06-26 B. G. Zakharov

In this paper, we propose a novel powerful strategy to perform searches for new electroweak states. Uncolored electroweak states appear in generic extensions of the Standard Model (SM) and yet are challenging to discover at hadron…

High Energy Physics - Phenomenology · Physics 2016-07-06 Ahmed Ismail , Eder Izaguirre , Brian Shuve

In this paper, we develop a direct method for the characterization of dark modes. The results can be used to construct a transformation that separates dark and bright modes, through the decomposition of system dynamics. We also study a…

Quantum Physics · Physics 2017-03-20 Yu Pan , Daoyi Dong , Ian R. Petersen

An approach for generating the entangled photonic states |F1,F2>+|F2,F1> from two arbitrary states |F1> and |F2> is proposed. The protocol is implemented by the conditionally induced beam-splitter coupling which leads to the selective…

Quantum Physics · Physics 2013-04-05 Anton V. Sharypov , Bing He

The present article is an extended version of the paper {\it Phys. Rev.} {\bf B 59}, R2490 (1999), where, we have established the equivalence of the Calogero-Sutherland model to decoupled oscillators. Here, we first employ the same approach…

Condensed Matter · Physics 2009-11-10 N. Gurappa , Prasanta K. Panigrahi

Mapping the system evolution of a two-state system allows the determination of the effective system Hamiltonian directly. We show how this can be achieved even if the system is decohering appreciably over the observation time. A method to…

Using a single, harmonically trapped $^9$Be$^+$ ion, we experimentally demonstrate a technique for generation of arbitrary states of a two-level particle confined by a harmonic potential. Rather than engineering a single Hamiltonian that…

A Hamiltonian is presented, which can be used to convert any asymmetric state $|\varphi \rangle_{a}|\phi \rangle_{b}$ of two oscillators $a$ and $b$ into an entangled state. Furthermore, with this Hamiltonian and local operations only, two…

Quantum Physics · Physics 2017-05-31 Chui-Ping Yang , Qi-Ping Su , Shi-Biao Zheng , Franco Nori , Siyuan Han

The evaluation of the path-integral representation for stochastic processes in the weak-noise limit shows that these systems are governed by a set of equations which are those of a classical dynamics. We show that, even when the noise is…

Condensed Matter · Physics 2009-10-22 S. J. B. Einchcomb , A. J. McKane

Relativistic particle actions are a useful tool to describe quantum field theory effective actions using a string-inspired first-quantized approach. Here we describe how to employ suitable particle actions in the computation of the scalar…

High Energy Physics - Theory · Physics 2015-04-15 Fiorenzo Bastianelli , Roberto Bonezzi , Olindo Corradini , Emanuele Latini , Khaled Hassan Ould-Lahoucine

Systems consisting of cold atoms trapped near photonic crystal waveguides have recently emerged as an exciting platform for quantum atom-light interfaces. Such a system enables realization of tunable long-range interactions between internal…

Quantum Physics · Physics 2021-08-04 David Z. Li , Marco T. Manzoni , Darrick E. Chang

Recent papers in solvable lattice models emphasize models where states can be visualized as colored paths through the lattice. We define a bosonic model in which there are two types of colors, one whose paths move down and to the right, the…

Combinatorics · Mathematics 2025-09-23 Talia Blum

We present a complete analytical solution for a single four-level atom strongly coupled to a cavity field mode and driven by external coherent laser fields. The four-level atomic system consists of a three-level subsystem in an EIT…

Quantum Physics · Physics 2016-08-16 S. Rebić , A. S. Parkins , S. M. Tan

When considering strangelets at finite temperature it is important to obey the constraint that any observed state must be color singlet. This constraint results in an increase in strangelet masses as calculated at fixed entropy per baryon.…

High Energy Physics - Phenomenology · Physics 2007-05-23 Dan Mønster Jensen , Jes Madsen , Michael B. Christiansen

Compositional minimisation can be an effective technique to reduce the state space explosion problem. This technique considers a parallel composition of several processes. In its simplest form, each sequential process is replaced by an…

Logic in Computer Science · Computer Science 2020-12-14 Maurice Laveaux , Tim A. C. Willemse

The many-body ground state of a very general class of electron-phonon Hamiltonians is proven to contain a spin singlet (for an even number of electrons on a finite lattice). The phonons interact with the electronic system in two different…

Condensed Matter · Physics 2009-10-22 J. K. Freericks , E. H. Lieb

We present {\it symmetric Hamiltonians} for the degenerate Garnier systems in two variables. For these symmetric Hamiltonians, we make the symmetry and holomorphy conditions, and we also make a generalization of these systems involving…

Algebraic Geometry · Mathematics 2011-02-15 Yusuke Sasano

We investigate the color structure of the deuteron by solving the light-front QCD Hamiltonian for its six-quark and six-quark-one-gluon components using basis light-front quantization. In this framework, the deuteron wavefunction consists…

High Energy Physics - Phenomenology · Physics 2025-03-28 Satvir Kaur , Jiatong Wu , Siqi Xu , Chandan Mondal , Xingbo Zhao , James P. Vary

Cold fermionic atoms with three different hyperfine states with SU(3) symmetry confined in one-dimensional optical lattices show color-charge separation, generalizing the conventional spin charge separation for interacting SU(2) fermions in…

Quantum Gases · Physics 2015-05-18 Tobias Ulbricht , Rafael A. Molina , Ronny Thomale , Peter Schmitteckert