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Spontaneous Symmetry Breaking in Quantum Systems:Emergence or Reduction?
Emergence More is Different Symmetry Breaking Earman's Principle
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2016/6/14
Beginning with Anderson (1972), spontaneous symmetry breaking (SSB) in infinite quantum systems is often put forward as an example of (asymptotic) emergence in physics, since in theory no finite syste...
Philosophical Aspects of Spontaneous Symmetry Breaking
Spontaneous symmetry breaking c-star algebras GNS theorem infinite spin chain algebraic quantum field theory heuristic quantum field theory
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2016/5/31
This essay expounds the algebraic framework describing general physical theories, within which the phenomenon of spontaneous symmetry breaking (SSB) makes its appearance in infinite quantum systems. T...
Clusters of solutions and replica symmetry breaking in random k-satisfiability
Random formula decomposition quantity index
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2015/8/21
We study the set of solutions of random k-satisfiability formulae through the cavity method. It is known that, for an interval of the clause-to-variables ratio, this decomposes into an exponenti...
Spontaneous symmetry breaking in photonic lattices: Theory and experiment
Symmetry broken double - well waveguide symmetric potential galerkin truncation photonic crystal lattice
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2014/12/29
We examine an example of spontaneous symmetry breaking in a double-well waveguide with a symmetric potential. The ground state of the system beyond a critical power becomes asymmetric. The effect is i...
Symmetry breaking in symmetric and asymmetric double-well potentials
Matter waves light beam the nonlinear schrodinger equation nonlinear solution attractive and nonlinear disturbances
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2014/12/25
Motivated by recent experimental studies of matter waves and optical beams in double-well potentials, we study the corresponding solutions of the nonlinear Schrödinger equation. Using a Galerkin-...
Symmetry breaking in linearly coupled dynamical lattices
Two-dimensional model the linear coupling lattice weak coupling lattice
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2014/12/25
We examine one- and two-dimensional models of linearly coupled lattices of the discrete-nonlinear-Schrödinger type. Analyzing ground states of the system with equal powers (norms) in the two comp...
SYMMETRY-BREAKING BIFURCATION IN NONLINEAR SCHRODINGER/GROSS-PITAEVSKII EQUATIONS
Nonlinear schrodinger mathematical modeling nonlinear optics macroscopic quantum phenomena the number of particles the mixed pattern
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2014/12/25
We consider a class of nonlinear Schrödinger/Gross–Pitaeveskii (NLS-GP) equations, i.e., NLS with a linear potential. NLS-GP plays an important role in the mathematical modeling of nonlinear opti...
Two-dimensional paradigm for symmetry breaking: The nonlinear Schroumldinger equation with a four-well potential
Mechanical systems linear geometric properties nonlinear dynamic equations
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2014/12/24
We present an experimentally realizable, simple mechanical system with linear interactions whose geometric nature leads to nontrivial, nonlinear dynamical equations. The equations of motion are derive...
Anthropic considerations in multiple-domain theories and the scale of electroweak symmetry breaking
The standard model quality parameters quantum physical parameter values
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2014/12/22
One of the puzzles of the Standard Model is why the mass parameter which determines the scale of the Weak interactions is closer to the scale of Quantum Chromodymanics (QCD) than to the Grand Unificat...
Random Symmetry Breaking and Freezing in Chaotic Networks
Random Symmetry Breaking Freezing Chaotic Networks
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2012/4/26
Parameter space of a driven damped oscillator in a double well potential presents either a chaotic trajectory with sign oscillating amplitude or a non-chaotic trajectory with a fixed sign amplitude. A...
Gauge Symmetry Breaking in Gauge Theories---In Search of Clarification
Gauge Symmetry Gauge Theories Clarification
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2011/8/11
Abstract: The paper investigates the spontaneous breaking of gauge symmetries in gauge theories from a philosophical angle. Local gauge symmetry itself cannot break spontaneously in quantized gauge th...
PT symmetry and spontaneous symmetry breaking in a microwave billiard
PT symmetry spontaneous symmetry microwave billiard Quantum Physics
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2011/10/9
Abstract: We demonstrate the presence of parity-time (PT) symmetry for the non-Hermitian two-state Hamiltonian of a dissipative microwave billiard in the vicinity of an exceptional point (EP). The sha...
Chiral symmetry breaking and the spin content of the rho and rho' mesons
Chiral symmetry breaking rho rho' mesons
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2011/7/21
Using interpolators with different SU(2)_L \times SU(2)_R transformation properties we study the chiral symmetry and spin contents of the rho- and rho'-mesons in lattice simulations with dynamical qua...
Perturbation Theory for PT-Symmetric Sinusoidal Optical Lattices at the Symmetry-Breaking Threshold
PT-Symmetric Sinusoidal Optical the Symmetry-Breaking Threshold
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2011/8/31
The PT symmetric potential V0[cos(2x/a)+i sin(2x/a)] has a completely real spectrum for ≤ 1, and begins to develop complex eigenvalues for > 1. At the
symmetry-breaking threshold = 1 some of...
Spontaneous symmetry breaking in linearly coupled disk-shaped Bose-Einstein condensates
linearly coupled disk-shaped Bose-Einstein condensates Spontaneous symmetry breaking
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2011/7/7
We study effects of tunnel coupling on a pair of parallel disk-shaped Bose-Einstein condensates with the self-attractive intrinsic nonlinearity. Each condensate is trapped in a combination of in-plane...