Gravitomagnetic Field and Time-Dependent Spin-Rotation Coupling

Shen, Jing; Zhu, Huayun; Shi, Shenlei; Li, Jun

doi:10.1238/physica.regular.065a00465

Cited by 19 publications

(29 citation statements)

References 21 publications

(30 reference statements)

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“…The invariant-related unitary transformation formulation is an effective method for treating time-dependent problems [15][16][17]. This formulation replaces eigenstates of the time-dependent invariants with those of the time-independent invariants through the unitary transformation.…”

Section: Discussionmentioning

confidence: 99%

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Exact time-dependent decoherence factor and its adiabatic classical limit

Shen¹,

Chen²,

Mao³

2003

Can. J. Phys.

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The present paper finds the complete set of exact solutions of the general time-dependent dynamical models for quantum decoherence, by making use of the Lewis-Riesenfeld invariant theory and the invariant-related unitary transformation formulation. Based on this, the general explicit expression for the decoherence factor is then obtained and the adiabatic classical limit of an illustrative example is discussed. The result ( i.e., the adiabatic classical limit) obtained in this paper is consistent with what obtained by other authors, and futhermore we obtain the more general results concerning the time-dependent non-adiabatic quantum decoherence. It is shown that the invariant theory is appropriate for treating both the time-dependent quantum decoherence and the geometric phase factor.

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Section: Discussionmentioning

confidence: 99%

“…In the meanwhile, by the aid of Baker-Campbell-Hausdorff formula [13], one can arrive at 15) which is related to the dynamical phase; and 16) which is related to the geometric phase. It follows from Eq.…”

Section: Exact Decoherence Factor In Time-dependent Decoherencementioning

confidence: 99%

Exact time-dependent decoherence factor and its adiabatic classical limit

Shen¹,

Chen²,

Mao³

2003

Can. J. Phys.

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“…It can be seen from the form of H ef f (t) that the problem of the rotation of polarization plane is actually in analogy with that of the time-dependent quantum spin model [8]. Set the components of momentum of a photon…”

Section: Time Evolution and Noncyclic Geometric Phase Of Photons mentioning

confidence: 99%

Geometric phase and helicity inversion of photons propagating inside a noncoplanarly curved optical fiber

Shen

2003

Physics Letters A

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The Letter presents an exact expression for the non-adiabatic non-cyclic geometric phase of photons propagating inside a noncoplanarly curved optical fiber by using the Lewis-Riesenfeld invariant theory. It is shown that the helicity inversion of photons arises in the curved fiber. Since we have exactly solved the time-dependent Schrödinger equation that governs the propagation of photons in a curved fiber and, moreover, the chronological product is not involved in this exact solution, our formulation therefore has several advantages over other treatments based on the classical Maxwell's theory and the Berry's adiabatic quantum theory. The potential application of helicity inversion of photons to information science is briefly suggested.

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“…To the best of our knowledge, the spin-rotation coupling of photon, electron and neutron has been taken into account in the literature [12][13][14]. However, the gravitational coupling of graviton spin to the gravitomagnetic fields, which may also be of physical interest, has so far never yet been considered.…”

mentioning

confidence: 99%

“…Thus it follows from (12), (13) and (15) that the total terms in √ −gg µν Γ ρ σν Γ σ µρ which will give contribution to the graviton S-G coupling are expressed as follows…”

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confidence: 99%

Purely gravitational generalization of spin-rotation couplings

Shen

2004

Phys. Rev. D

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The nature of Mashhoon's spin-rotation coupling is the interaction between a particle spin (gravitomagnetic moment) and a gravitomagnetic field. Here we will consider the coupling of graviton spin to the weak gravitomagnetic fields by analyzing the Lagrangian density of weak gravitational field, and hence study the purely gravitational generalization of Mashhoon's spin-rotation couplings. PACS number(s): 04.20.Fy, 04.25.Nx, 04.20.Cv With the development of laser technology and its application to the gravitational interferometry experiments [1], some weak gravitational effects [2-5] associated with gravitomagnetic fields has become increasingly important and therefore captured many authors both theoretically and experimentally. During the past 20 years, neutron interferometry was developed with increasing accuracy. By using these technologies, Werner et al. [4][5][6] proposed a gravitational analog to the Aharonov-Bohm effect [7], which is a geometric effect of vector potential of gravity: specifically, in a rotating frame the matter wave propagating along a closed path will acquire a nonintegral phase factor (geometric phase factor). This phenomenon has now been called the Aharonov-Carmi effect, or the gravitational Aharonov-Bohm effect. Overhauser, Colella [8], Werner and Standenmann et al. [2] have proved the existence of the Aharonov-Carmi effect by means of the neutron-gravity interferometry experiment. Note that here the Aharonov-Carmi effect results from the interaction between the momentum of a moving particle and the rotating frame. Even though the interaction of a spinning particle such as neutron with the rotating frame has the same origin of Aharonov-Carmi effect, i.e., both arise from the presence of the inertial force, the Aharonov-Carmi effect mentioned above does not contain the spin-rotation coupling [9].It has become feasible to use polarized neutrons in the interferometer experiments [10]. Since a particle with an intrinsic spin possesses a gravitomagnetic moment, Mashhoon considered the interaction of the particle spin with the rotation of a noninertial reference frame, which was referred to as the spin-rotation coupling [9]. Recently, Mashhoon analyzed the Doppler effect of wavelight in a rotating frame with respect to the fixing frame [11,12] and derived the photon spin-rotation coupling effect, and we considered the coordinate transformation (from the fixing frame to the rotating frame) of gravitomagnetic potential g 0ϕ of Kerr metric and then obtained the Hamiltonian of neutron spin-rotation coupling [13]. A straightforward and unified way within the framework of special relativity to derive the inertial effects (including spin-rotation coupling, Bonse-Wroblewski and PageWerner effects) of a Dirac particle was proposed by Hehl et al., where they put the special-relativistic Dirac equation into a noninertial reference frame by standard methods [10]. Mashhoon's spin-rotation coupling has some interesting applications, e.g., the spin-rotation coupling experienced by valency electrons in r...

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Gravitomagnetic Field and Time-Dependent Spin-Rotation Coupling

Cited by 19 publications

References 21 publications

Exact time-dependent decoherence factor and its adiabatic classical limit

Exact time-dependent decoherence factor and its adiabatic classical limit

Geometric phase and helicity inversion of photons propagating inside a noncoplanarly curved optical fiber

Purely gravitational generalization of spin-rotation couplings

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