325 research outputs found

### Equivalence of the Sutherland Model to Free Particles on a Circle

A method is developed to construct the solutions of one and many variable,
linear differential equations of arbitrary order. Using this, the $N$-particle
Sutherland model, with pair-wise inverse sine-square interactions among the
particles, is shown to be equivalent to free particles on a circle.
Applicability of our method to many other few and many-body problems is also
illustrated.Comment: 12 pages, REVTeX, some typographical errors and few mistakes in the
references are corrected. Few comments are adde

### Induced magnetic moment in noncommutative Chern-Simons scalar QED

We compute the one loop, $O(\th)$ correction to the vertex in the
noncommutative Chern-Simons theory with scalar fields in the fundamental
representation. Emphasis is placed on the parity odd part of the vertex, since
the same leads to the magnetic moment structure. We find that, apart from the
commutative term, a $\th$-dependent magnetic moment type structure is induced.
In addition to the usual commutative graph, cubic photon vertices also give a
finite $\th$ dependent contribution. Furthermore, the two two-photon vertex
diagrams, that give zero in the commutative case yield finite $\th$ dependent
terms to the vertex function.Comment: 8 pages, 8 figures. Reference added. A remark about hep-th/0410257,
in the original version, changed after clarification from the author

### Finite Temperature effects on the Induced Chern-Simons term in noncommutative geometry

The one-loop contribution to vacuum polarization is calculated for the
adjoint fermions in three dimensional noncommutative spaces, both at zero and
finite temperature. At zero temperature, we confirm a previously found result
for the parity odd part and subsequently analyze the even parity part, which
exhibits UV/IR mixing. We discuss in detail, two regimes of the high
temperature behavior of the parity odd part. When the thermal wavelength is
much smaller, as compared to the noncommutativity scale, we find an interesting
Fermi-Bose transmutation in the nonplanar part.Comment: 15 pages, minor corrections and references added (version to appear
in JHEP

### Quantum information splitting using multi-partite cluster states

We provide various schemes for the splitting up of Quantum information into
parts using the four and five partite cluster states. Explicit protocols for
the Quantum information splitting (QIS) of single and two qubit states are
illustrated. It is found that the four partite cluster state can be used for
the QIS of an entangled state and the five partite cluster state can be used
for QIS of an arbitrary two qubit state. The schemes considered here are also
secure against certain eavesdropping attacks.Comment: 7 Page

### N-qubit Quantum Teleportation, Information Splitting and Superdense Coding through the composite GHZ-Bell Channel

We introduce a general odd qubit entangled system composed of GHZ and Bell
pairs and explicate its usefulness for quantum teleportation, information
splitting and superdense coding. After demonstrating the superdense coding
protocol on the five qubit system, we prove that '2N +1' classical bits can be
sent by sending 'N+1' quantum bits using this channel. It is found that the
five-qubit system is also ideal for arbitrary one qubit and two qubit
teleportation and quantum information splitting (QIS). For the single qubit
QIS, three different protocols are feasible, whereas for the two qubit QIS,
only one protocol exists. Protocols for the arbitrary N-qubit state
teleportation and quantum information splitting are then illustrated.Comment: 8 pages, 6 table

### Controlled Spin Transport in Planar Systems Through Topological Exciton

It is shown that a charge-neutral spin-1 exciton, realizable only in planar
systems like graphene, can effectively be used for controlled spin transport in
such media. The excitonic bound state is destabilized by quantum fluctuations,
characterized by a threshold for excitation and melts in a smooth manner under
thermal fluctuations. This planar exciton differs from the conventional ones,
as it owes its existence to the topological Chern-Simons (CS) term. The parity
and time-reversal violating CS term can arise from quantum effects in systems
with parity-breaking mass-gap. The spinning exciton naturally couples to
magnetic field, leading to the possibility of controlled spin transport. Being
neutral, it is immune to adverse effects, afflicting spin transport by charged
fermions.Comment: 9 pages, 3 figures, References upgrade

### Comment on "Comment on 'Supersymmetry, PT-symmetry and spectral bifurcation'"

In "Comment on Supersymmetry, PT-symmetry and spectral bifurcation"
\cite{BQ1}, Bagchi and Quesne correctly show the presence of a class of states
for the complex Scarf-II potential in the unbroken PT-symmetry regime, which
were absent in \cite{AP}. However, in the spontaneously broken PT-symmetry
case, their argument is incorrect since it fails to implement the condition for
the potential to be PT-symmetric: $C^{PT}[2(A-B)+\alpha]=0$. It needs to be
emphasized that in the models considered in \cite{AP}, PT is spontaneously
broken, implying that the potential is PT- symmetric, whereas the ground state
is not. Furthermore, our supersymmetry (SUSY)-based 'spectral bifurcation'
holds \textit{independent} of the $sl(2)$ symmetry consideration for a large
class of PT-symmetric potentials.Comment: 2 page

### Chirp Control of Sinusoidal Lattice Modes in Bose-Einstein Condensate

A parametrically forced Bose-Einstein condensate (BEC) is studied in the mean
field approach for the case of a general moving optical lattice. The
interaction between the atoms in the condensate and the time dependent lattice
potential leads to a novel propagating superfluid matter wave, which can be
controlled through chirp management. This system, when placed in a trap,
accelerates and undergoes rapid nonlinear compression, controlled by the chirp.
The density achieves its maximum, precisely when the matter wave changes
direction. A dynamical phase transition is identified, which takes the
superfluid phase to an insulating state. The exact expression for energy is
obtained and analyzed in detail to gain physical understanding of the chirp
management of the sinusoidal excitations and also the dynamical phase
transition.Comment: This Paper has been withdrawn by the authors. An extensive modified
version of this paper can be found at arXiv:1506.0079

### Soliton Solutions of the $\sigma$ Model and the Disoriented Chiral Condensates

We derive travelling soliton solutions of the $\sigma$ model, relevant for
the description of dynamics of pions, in the high-energy, heavy-ion collisions.
These extended objects are analogs of Ne$\grave{e}$l and Bloch type defects in
ferromagnetic systems and could possibly describe the disoriented chiral
condensates. It is shown that these solutions are metastable and can naturally
produce an asymmetry between $\pi^0$ and $\pi^+$, $\pi^-$ mesons in the
soft-pion emissions from heavy-ion collisons.Comment: 4 pages, LaTex, invited talk presented at workshop SOLITONS:
properties, dynamics, interactions and applications, held at Kingston,
Ontario, Canada, July 20 - Jul 26, 199

### Quantum and Thermal Fluctuations and Pair-breaking in Planar QED

Planar quantum electrodynamics, in presence of tree-level Chern-Simons term,
is shown to support bound state excitations, with a threshold, not present for
the pure Chern-Simons theory. In the present case, the bound state gets
destabilized by vacuum fluctuations. The bound state itself finds justification
in the duality of the theory with massive topological vector field. Thermal
fluctuations further destabilize this state, leading to smooth dissociation at
high temperatures. Physical systems are suggested for observing such a bound
state.Comment: 16 pages, 3 figures. Concepts are further elucidate

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