Probing Noncommutativities of Phase Space by Using Persistent Charged Current and Its Asymmetry

Abstract

We study the physical properties of the persistent charged current in a metal ring on a noncommutative phase space, and temperature dependence of the noncommutative corrections are also analyzed. We find that the coordinate noncommutativity only affects the total magnitude of the current, and it is difficult to observe it. In contrast, the momentum noncommutativity can violate symmetry property of the current, and this violation of symmetry holds at a finite temperature. Based on this violation effect, we introduce an asymmetry observable to measure the momentum noncommutativity.

arXiv comment15 pages, 3 figures. v2: typos and a sign in Eq.(5) are corrected, a figure is revised correspondingly; v3: texts are improved, and references are added

References in corpus (53)

• String Theory and Noncommutative Geometry
• Noncommutative Field Theory
• Quantum Field Theory on Noncommutative Spaces
• Hydrogen Atom Spectrum and the Lamb Shift in Noncommutative QED
• Non-Commutative Quantum Mechanics
• 3d Quantum Gravity and Effective Non-Commutative Quantum Field Theory
• Noncommutative Gravitational Quantum Well
• Noncommutative Quantum Mechanics from Noncommutative Quantum Field Theory
• Duality in Scalar Field Theory on Noncommutative Phase Spaces
• Aharonov-Bohm Effect in Noncommutative Spaces
• Noncommutative Quantum Gravity
• Quantum Theories on Noncommutative Spaces with Nontrivial Topology: Aharonov-Bohm and Casimir Effects
• Exact Solution of Quantum Field Theory on Noncommutative Phase Spaces
• Testing spatial noncommutativiy via the Aharonov-Bohm effect
• Testing Spatial Noncommutativity via Rydberg Atoms
• The topological AC effect on noncommutative phase space
• Noncommutative quantum mechanics and the Aharonov-Casher effect
• Aspects of Phase-Space Noncommutative Quantum Mechanics
• Noncommutative field theory on ${\mathbb{R}}_{\lambda }^3$
• Perturbative Noncommutative Quantum Gravity
• Noncommutative Spaces and Poincaré Symmetry
• A Cohomological Approach to the Non-Abelian Seiberg-Witten Map
• Seiberg Witten Map and the Axial Anomaly in Noncommutative Field Theory
• Gauge Covariance of the Aharonov-Bohm Phase in Noncommutative Quantum Mechanics
• Seiberg-Witten maps from the point of view of consistent deformations of gauge theories
• Frame-dragging effect in the field of non rotating body due to unit gravimagnetic moment
• Relativistic corrections to the algebra of position variables and spin-orbital interaction
• Noncommutative Quantum Gravity
• Mathisson-Papapetrou-Tulczyjew-Dixon (MPTD) equations in ultra-relativistic regime and gravimagnetic moment
• Ultra-relativistic spinning particle and a rotating body in external fields
• Computing the θ-exact Seiberg-Witten map for arbitrary gauge groups
• Relativistic effects due to gravimagnetic moment of a rotating body
• Aharonov-Casher effect for spin one particles in a noncommutative space
• Spin Hall effect on a noncommutative space
• Inertial spin Hall effect in noncommutative space
• Time-dependent Aharonov-Bohm effect on the noncommutative space
• Deformations of the spin currents by topological screw dislocation and cosmic dispiration
• Detecting Noncommutative Phase Space by Aharonov-Bohm Effect
• TeV Scale Phenomenology of $e^{+}{e}^{-}\to {\mu }^{+}{\mu }^{-}$ Scattering in the Noncommutative Standard Model with Hybrid Gauge Transformation
• Seiberg-Witten map and quantum phase effects for neutral Dirac particle on noncommutatiave plane
• Mesoscopic persistent currents in a strong magnetic field
• Response of simple quantum systems to different polarizations of gravitational waves in noncommutative phase-space
• Higgsstrahlung and pair production in $e^{+}{e}^{-}$ collision in the noncommutative standard model
• Chern-Simons in the Seiberg-Witten map for non-commutative Abelian gauge theories in 4D
• Bound on Noncommutative Standard Model with Hybrid Gauge Transformation via Lepton Flavor Conserving $Z$ Decay
• Noncommutative Geometry and Fluid Dynamics
• Influences of Topological Defect on Spin Hall Effect
• Probing the noncommutative effects of phase space in the time-dependent Aharonov-Bohm effect
• Quantum speed limit for a relativistic electron in the noncommutative phase space
• Aharonov-Bohm effect for a fermion field in a planar black hole "spacetime"
• Constrains of Charge-to-Mass Ratios on Noncommutative Phase Space
• Hall conductivity in the cosmic defect and dislocation space-time
• Remarks on the Formulation of Quantum Mechanics on Noncommutative Phase Spaces

Cited by in corpus (7)

• Relativistic effects due to gravimagnetic moment of a rotating body
• Hair distributions in noncommutative Einstein-Born-Infeld black holes
• Hair formation in the background of noncommutative reflecting stars
• Covariant version of Pauli Hamiltonian, spin-induced non commutativity, Thomas precession and precession of spin
• Acceleration of particles in Schwarzschild and Kerr geometries
• Chiral Spin Noncommutative Space and Anomalous Dipole Moments
• Noncommutative effects on the fluid dynamics and modifications of the Freidmann equation