Article
Physics, Nuclear
Tao Wang, Kai Ma
Summary: In this paper, we investigate the time-dependent He-McKellar-Wilkens (HMW) phase shift and extend it to noncommutative space. We find that the original HMW effect can be corrected under adiabatic varying external magnetic fields. The adiabatic approximation holds when the frequency of the varying external field is smaller than the spinor particle's rotation frequency. Noncommutative corrections are studied using the Seiberg-Witten map to ensure gauge invariance, and two types of contributions are identified, namely purely adiabatic and frequency-dependent constant corrections.
INTERNATIONAL JOURNAL OF MODERN PHYSICS A
(2023)
Article
Multidisciplinary Sciences
Chris Overstreet, Peter Asenbaum, Joseph Curti, Minjeong Kim, Mark A. Kasevich
Summary: Gravity curves space and time, leading to time differences between freely falling, nonlocal trajectories. A study has found that a matter-wave interferometer is affected by gravitational phase shifts induced by a kilogram-scale source mass. The observed phase shift deviates from the predicted phase contribution and is consistent with Heisenberg's error-disturbance relation.
Article
Chemistry, Physical
Jonathan I. Rawlinson, Csaba Fabri, Attila G. Csaszar
Summary: The Aharonov-Bohm effect has another application in chemistry, specifically in nuclear quantum dynamics and high-resolution molecular spectroscopy. The overall rotation of a symmetric-top molecule can influence internal vibrational motion dynamics similar to a solenoid carrying magnetic flux, and this effect can be used to understand the low-energy rovibrational energy-level structure of certain molecular ions.
PHYSICAL CHEMISTRY CHEMICAL PHYSICS
(2021)
Article
Optics
R. Y. Chiao, H. Hart, M. Scheibner, J. Sharping, N. A. Inan, D. A. Singleton, M. E. Tobar
Summary: This paper proposes a version of the electric Aharonov-Bohm effect, in which the quantum system that picks up the Aharonov-Bohm phase is confined to a Faraday cage with a time-varying spatially uniform scalar potential. The electric and magnetic fields in this region are effectively zero for the entire period of the experiment. The observable consequence of this version of the electric Aharonov-Bohm effect is a shift in the energy levels of the quantum system, rather than a shift in the fringes of the two-slit interference pattern. We demonstrate a strong mathematical connection between this version of the scalar electric AB effect and the ac Stark effect.
Article
Optics
S. M. Zhang, H. S. Xu, L. Jin
Summary: In this study, we introduce an anti-parity-time symmetric imaginary coupling in a generalized Creutz ladder to construct a non-Hermitian AB cage with tunable flat-band energy. We investigate compact localized states and complete localization dynamics, and show that non-Hermiticity affects the localization probability distributions and increases the oscillation period of the AB cage dynamics.
Article
Nanoscience & Nanotechnology
Yuval Ronen, Thomas Werkmeister, Danial Haie Najafabadi, Andrew T. Pierce, Laurel E. Anderson, Young Jae Shin, Si Young Lee, Young Hee Lee, Bobae Johnson, Kenji Watanabe, Takashi Taniguchi, Amir Yacoby, Philip Kim
Summary: Interferometers probe the wave-nature and exchange statistics of indistinguishable particles, enabling the observation and control of FQHE through graphene-based interferometers. Graphite-encapsulated architectures establish vdW heterostructures as a versatile alternative to GaAs-based interferometers for experiments targeting anyonic quasi-particles.
NATURE NANOTECHNOLOGY
(2021)
Article
Optics
Ismael L. Paiva, Pedro R. Dieguez, Renato M. Angelo, Eliahu Cohen
Summary: The Aharonov-Bohm effect is a fundamental topological phenomenon with various applications. In this study, the effect is analyzed using an entropic measure known as realism, which quantifies the degree of reality and is mathematically related to quantum coherence. The study finds that the realism of certain observables has a sudden change when the line connecting the wave packet crosses the solenoid, and discusses the consequences of these results.
Article
Optics
Xiang Li, Thors Hans Hansson, Wei Ku
Summary: The Aharonov-Bohm effect is a quantum effect that causes a measurable phase shift in the wave function of a charged particle encircling an inaccessible magnetic flux. While classically believed to be impossible, quantum mechanics reveals a local coupling between the particle's current and the electromagnetic vector potential A, extending beyond the region of finite magnetic field. This suggests the fundamental nature of A over B in quantum mechanics, despite A being unobservable.
Article
Materials Science, Multidisciplinary
Zuhan Geng, Zitong Zhang, Fangting Chen, Shuai Yang, Yuying Jiang, Yichun Gao, Bingbing Tong, Wenyu Song, Wentao Miao, Ruidong Li, Yuhao Wang, Qinghua Zhang, Fanqi Meng, Lin Gu, Kejing Zhu, Yunyi Zang, Lin Li, Runan Shang, Xiao Feng, Qi-Kun Xue, Ke He, Hao Zhang
Summary: We report phase coherent electron transport in PbTe nanowire networks with a loop geometry. Magnetoconductance shows Aharonov-Bohm oscillations with periods of h/e and h/2e in flux. The amplitudes of h/2e oscillations are enhanced near zero magnetic field, possibly due to interference between time-reversal paths. Temperature dependence of the AB amplitudes suggests a phase coherence length similar to 8-12 μm at 50 mK. This length scale is larger than the typical geometry of PbTe-based hybrid semiconductor-superconductor nanowire devices.
Article
Materials Science, Multidisciplinary
Qingming Li, Jian-Jun Liu, Ying-Tao Zhang
Summary: In this study, we investigate the topological properties, energy spectrum, and persistent currents of a non-Hermitian ring with anti-Hermitian hopping terms, showing that the anti-Hermitian hopping can induce a synthetic gauge field and exhibit Aharonov-Bohm effect. The system supports imaginary persistent currents with a real energy gap in the topological phase, while supporting real persistent currents with an imaginary energy gap in the trivial phase. Additionally, the transport property of a non-Hermitian Aharonov-Bohm ring connected by two semi-infinite leads displays Aharonov-Bohm quantum oscillations in the transmission coefficient as a function of the synthetic gauge field.
Article
Multidisciplinary Sciences
Vladimir Ch. Zhukovsky
Summary: This paper explores induced current calculations in fermion models in 3D and 5D spacetime with an Aharonov-Bohm potential and a domain wall, demonstrating the violation of chiral symmetry and the appearance of induced current. The study utilizes the effective Dirac equation to model massless electrons in monolayer graphene, and different approaches are used to address the issue of induced current related to domain walls.
Article
Chemistry, Multidisciplinary
Patricia Martinez-Rojas, M. Esperanza Benavides-Vergara, Francisco J. Pena, Patricio Vargas
Summary: In this work, the caloric effect for an electronic system of the antidot type is investigated. The system is modeled by combining a repulsive and attractive potential, and the energy levels are obtained analytically. It is found that controlling the caloric response of the system can be achieved by varying the AB-flux intensity. The results show that the maximization of the effect always occurs at the same AB-flux intensity in the absence of an external magnetic field, while fixing the magnetic field breaks this symmetry and changes the point of maximization.
Article
History & Philosophy Of Science
John Dougherty
Summary: The paper defends the common topological interpretation of the Aharonov-Bohm effect against criticisms by Elay Shech and John Earman. It argues that their emphasis on boundary conditions and idealizations in certain cases of the effect is misplaced. The paper concludes that the topological interpretation does not presuppose unjustified idealizations and that the role of boundary conditions in the effect is exaggerated.
Article
Materials Science, Multidisciplinary
V Brosco, L. Pilozzi, C. Conti
Summary: This study investigates the Aharonov-Bohm caging effect in a one-dimensional lattice of theta-shaped units, where light trapping results from the destructive interference of waves propagating along three arms. The caging effect is tunable and controllable by changing the tunnel couplings J, which is reflected in the diffraction pattern and establishes a clear connection between the lattice topology and the resulting AB interference.
Article
Materials Science, Multidisciplinary
Kun Luo, Hao Geng, Li Sheng, Wei Chen, D. Y. Xing
Summary: The study demonstrates that the spatial configurations of hinge states in 3D HOTIs can be clearly revealed by using interfering loops composed of two basic magnetic fluxes. The frequency components of conductance oscillations are universally related, facilitating the exploration of the AB effect in 3D HOTIs.
Article
Physics, Multidisciplinary
Marcio M. Cunha, Fabiano M. Andrade, Edilberto O. Silva
Summary: In this study, we investigate the impact of rotation and a Coulomb potential on the quantum mechanical description of a spin-1/2 particle in the presence of the Aharonov-Bohm effect. We utilize the method of self-adjoint extensions within the framework of the Pauli-Schrodinger equation. We analyze the role of spin degree of freedom, determine the energy spectrum, and examine the findings in detail.
EUROPEAN PHYSICAL JOURNAL PLUS
(2023)
Article
Physics, Multidisciplinary
K. Bakke
Summary: We investigate the Hulthen potential in the presence of a global monopole and examine its impact on the eigenvalues of energy. By analyzing the s-states, we find that the global monopole topology affects the energy levels. We further extend this analysis to the t-states, considering an approximation to the centrifugal term, and establish that the global monopole topology also influences the eigenvalues of energy in this case.
EUROPEAN PHYSICAL JOURNAL PLUS
(2023)
Article
Physics, Multidisciplinary
A. V. D. M. Maia, K. Bakke
Summary: This paper discusses the influence of the spiral dislocation topology on the revival time associated with the interaction of a point charge with a uniform magnetic field. By analyzing the cut-off point induced by the spiral dislocation topology and its influence on the interaction, it is found that the Landau levels are no longer achieved. Additionally, it is shown that the only non-null revival time is related to the radial quantum number.
QUANTUM STUDIES-MATHEMATICS AND FOUNDATIONS
(2023)
Article
Physics, Multidisciplinary
Luis Fernando C. Pereira, Edilberto O. O. Silva
Summary: The properties of a 2D quantum ring under rotating and external magnetic field effects are investigated. The rotation lifted the degeneracy of Landau levels. Near the ring edges, the energies increase monotonically, forming edge states. These edge states have a significant role in the physical properties of the ring. Both de Haas-Van Alphen (dHvA) oscillations and Aharonov-Bohm-type (AB) oscillations are observed in magnetization when considering the rotating effects. It is found that rotation is responsible for inducing AB oscillations.
ANNALEN DER PHYSIK
(2023)
Article
Physics, Multidisciplinary
K. Bakke, H. Belich
Summary: We search for Lorentz symmetry violation effects at low-energy regime and discuss the influence of these effects on molecular vibrations spectrum caused by the coupling of a fixed vector field and the derivative of the fermionic field. Additionally, we examine the impact of this Lorentz symmetry violation background on the revival time.
COMMUNICATIONS IN THEORETICAL PHYSICS
(2023)
Article
Physics, Multidisciplinary
K. Bakke, H. Belich
Summary: In this study, we investigate the effects of Lorentz symmetry violation on the energy eigenvalues of the Hulthen potential and the deformed Hulthen potential in the nonrelativistic regime, caused by the coupling between a fixed vector field B-mu = f(mu) gamma(5) and the derivative of the fermionic field.
Article
Multidisciplinary Sciences
Knut Bakke
Summary: We investigate the impact of a global monopole's topology on a spherical quantum dot with an attractive short-range potential. The potential is derived from the power-exponential model in Ciurla et al. (2022 Physica E 15, 261-268), focusing on a specific case within the quantum dot model. By considering s-wave states, we obtain the energy eigenvalues and analyze how the topology of the global monopole affects them. Additionally, we explore the implications for quantum revivals.
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
(2023)
Article
Multidisciplinary Sciences
S. L. R. Vieira, K. Bakke
Summary: In this study, we investigate the emergence of an Aharonov-Bohm-type effect around a cylindrical cavity in a magnetic quadrupole moment system in a rotating reference frame. The bound state analogue of the Aharonov-Bohm-type effect arises from the interaction of the magnetic quadrupole moment of a neutral particle with an induced electric field due to an attractive inverse-square potential. We also discuss the modification of energy level degeneracy by rotation and calculate the revival time and the persistent currents.
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
(2023)
Article
Astronomy & Astrophysics
Saulo S. Alves, Marcio M. Cunha, Hassan Hassanabadi, Edilberto O. Silva
Summary: In this paper, we investigated the nonrelativistic quantum mechanics of an electron in a spacetime with a topological defect, specifically a global monopole, while considering the influence of the Hulthen potential. We obtained approximate solutions for the Schrodinger equation, calculated the scattering phase shift and S-matrix, and analyzed bound states.
Article
Astronomy & Astrophysics
Jardel de Carvalho Veloso, Knut Bakke
Summary: By using the WKB approximation, the paper investigates the bounded solutions of the time-independent Schrodinger equation for an attractive inverse-square potential and anharmonic oscillators resulting from the interaction between a point charge and radial electric fields. The focus is on the s-wave bound states, and the revival time for each case is also obtained.
Article
Astronomy & Astrophysics
K. Bakke, H. Belich
Summary: In this study, we explore new phenomena in low energies beyond the standard model of physics by modifying the properties of nonrelativistic quantum systems. The influence of Lorentz symmetry violation on the fermionic sector is investigated, and it is found that the energy spectra are affected.
Article
Physics, Multidisciplinary
K. Bakke
Summary: We study the interaction between a point charge and a uniform radial electric field inside a long nonconducting cylinder with a cylindrical cavity in the presence of the Aharonov-Bohm flux. We find that the system can exhibit bound states similar to the quantum bouncer around the cylindrical cavity. For U-waves, the energy levels are infinitely degenerate. Furthermore, we discuss the revival time of the system and show that the s-waves and l-waves have the same revival time.
Article
Physics, Multidisciplinary
K. Bakke, H. Belich
Summary: We investigate the impact of Lorentz symmetry violation on the Modified Poschl-Teller potential, the Woods-Saxon potential, and the harmonic oscillator potential. This violation is caused by the coupling between the fixed vector field B-mu = f(mu)gamma(5) and the derivative of the fermionic field. We demonstrate that Lorentz symmetry violation has an influence on the energy spectrum.
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS
(2023)
Article
Physics, Particles & Fields
C. F. S. Pereira, A. R. Soares, R. L. L. Vitoria, H. Belich
Summary: This paper investigates the relativistic quantum dynamics of a bosonic field in Born-Infeld spacetime with a topological charge. The confinement of the spin-0 boson due to the effects of the geometry is analyzed, and solutions of bound states are obtained. The interaction of the relativistic oscillator is introduced, and the relativistic energy profile of the system is analytically obtained.
EUROPEAN PHYSICAL JOURNAL C
(2023)
Article
Physics, Multidisciplinary
Daniel F. Lima, Frankbelson dos S. Azevedo, Luis Fernando C. Pereira, Cleverson Filgueiras, Edilberto O. Silva
Summary: This work presents a theoretical study on the effects of rotation on the nonrelativistic quantum motion of a charged particle confined to a 2D ring in the presence of the Aharonov-Bohm effect and a uniform magnetic field. The study explores the influence of rotation on the probability distribution and optical properties of the system. The findings demonstrate a perceptible shift in the distribution and significant effects on energy levels and optical properties at terahertz frequencies.
