arXiv subjects

Dipti Banerjee

Publications and source records attributed to Dipti Banerjee.

13 recordsLinked to original sources

arXiv2019

Energy transfer and entanglement in an optically active solution of amino acids

The optical activity of a chiral medium is discussed from the view point of transfer of energy. The absorbed energy of the polarized light in the optical active medium is transferred to the mechanical rotation of the chiral molecule. They acquire the helicity dependent geometric phase due to passage of the polarized light which loses energy by having an optical rotation. The entanglement of a polarized photon and fermion is the very source of this behavior. This theoretical knowledge has been reflected in an experimental study with six essential and five non-essential amino acids.

quant-ph↗

arXiv2017

Generation of orbital angular momentum through twisted Variable retarders

Polarized light passing through twisted special wave plates show entangled state of both SAM and OAM. The variable circular and linear retarders (VCR and VLR) are studied here from the view point of quantum processing of entangled states. Interestingly the geometric phase in association with twist dependent gain of OAM has been discussed here. As an application of VLR, the origin of gradual flattened shape of wave fronts through successive array of antennas (QHQ) has been explained through new physical approach of the concurrence of entangled states.

quant-ph↗

arXiv2014

Quantum Information through Angular momentum of Photon

The angular momentum of photons is the key source of quantum information. The transfer angular momentum is possible as circularly polarized light passed through wave plates. The twisted birefringent medium behaves as Q-plate. The passage of circularly polarized light through two consecutive half wave plates traces a closed curve on Poincare sphere. As a result the geometric phase in association with gain of orbital angular momentum is developed.

physics.optics↗

arXiv2013

Quantifying phases in homogenous twisted birefringent medium

The internal birefringence of an optical medium develops the dynamical phase through natural rotation of incident polarized light. The uniform twist of the medium induces an external birefringence in the system.This can be visualized through the geometric phase by the solid angle in association with the angular twist per unit thickness of the medium $k$.An equivalent physical analysis in the $l=1$ orbital angular momentum sphere also has been pointed out.

quant-ph↗

arXiv2011

The spinorial representation of polarized light and Berry phase

From relativistic point of view it has been shown here that a polarized photon can be visualized to give an equivalent spinorial description when the two-component spinor is the eigenvector of $2\times2$ Hermitian, Polarization matrix. The Berry phase of the initial state can be calculated by matrix method as it complete one rotation over a closed path on the Poincare's sphere.

physics.optics↗

arXiv2011

On the theory of topological computation in the lowest Landau level of QHE

We have studied the formation of Hall-qubit (LLL state) in Quantum Hall effect due to the Aharonov-Bhom oscillation of quasiparticles.The spin echo method plays the key role in the topological entanglement of qubits. The proper ratio of fluxes for maximally entangling qubits has also been pointed out. The generation of higher Quantum Hall state may be possible with the help of quantum teleportation.

cond-mat.str-el↗

arXiv2011

The study of birefringent homogenous medium with geometric phase

The property of linear and circular birefringence at each point of the optical medium has been evaluated here from differential matrix $N$ using the Jones calculus.This matrix lies on the OAM sphere for $l=1$ orbital angular momentum.The geometric phase is developed by twisting the medium uniformly about the direction of propagation of the light ray. The circular birefringence of the medium,is visualized through the solid angle and the angular twist per unit thickness of the medium, $k$,that is equivalent to the topological charge of the optical element.

physics.optics↗

arXiv2008

The Berry phase in frustrated spin glass

In this letter we have pointed out that frustration in spin glass is realized through the Berry phase due to the conflict between the spin ordering in the course of parallel transport of spinor. We have came to the point that the Berry phase depicting the chiral change of helicity of a quantized spinor is prominent only in the presence of frustration.

cond-mat.mes-hall↗

arXiv2008

Qubit rotation in QHE

In Quantum Hall effect the ground state wave function at $ν=1$ is the building block of all other states at different filling factors. It is developed by the entanglement of two spinors forming a singlet state. The inherent frustration visualized by the non-abelian matrix Berry phase is responsible for the quantum pumped charge to flow in the Hall surface. The Physics behind the Quantum Hall states is studied here from the view point of topological quantum computation.

cond-mat.mes-hall↗

arXiv2005

The Angular momentum aspect of shift in FQHE

The angular momentum of the Hall particles acquiring Berry phases from quantization,is the very source of unifying the physics of IQHE and FQHE. The origin of {\it Shift} quantum number lies in the change of angular momentum of the Hall particles from higher to lower Landau level. Here the non-vanishing effect of {\it Shift} in 2D has been evaluated in the framework of $Z_p$ spin system and in view of these, Ising model and XY model are studied.

cond-mat.mes-hall↗

arXiv2004

The Study of Geometric Phase in Twisted Crystal

The polarization matrix ($2\times2$) obtained from two component eigen-spinors of spherical harmonics help us to evaluate the differential matrix $N$ of the anisotropic optical medium. The geometric phase is realized through {\it helicity} of photon, assuming the transmission of polarized light through the crystal which has been twisted about the normal to its surface over a closed path.

physics.optics↗

arXiv2004

Edge Current of FQHE and Aharanov-Bhom Type Phase

When two non-identical quasi-particles in the Hall fluid encircle each other, relative AB type phase developes.As the quasi-particles advance towards the edge in a similar circular way, the developed current should have connection with this AB type phase through the {\it Shift} quantum number or Berry's topological phase. We have pointed out the role of relative AB type statistical phase in the development of edge current.In fact,the physics of the current flow in FQHE is sketched here from the topological point of phase transformation.

cond-mat.mes-hall↗

arXiv2004

Geometric Phase From Dielectric Matrix

The dielectric property $(2\times2)$ of the anisotropic optical medium is found out considering the polarized photon as two component spinor of spherical harmonics.The Geometric Phase of single polarized photon has been evaluated in two ways. The phase two-form of the dielectric matrix through a twist and the Pancharatnam phase (GP) through the change of angular momentum of the incident polarized photon over a closed triangular path on the extended Poincare sphere. The helicity in connection with the spin angular momentum of the chiral photon plays the key role in developing these phase holonomies.

physics.optics↗