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pro vyhledávání: '"Vyas, Vivek M"'
Autor:
Vyas, Vivek M.
An operator generalisation of the notion of geometric phase has been recently proposed purely based on physical grounds. Here we provide a mathematical foundation for its existence, while uncovering new geometrical structures in quantum systems. Whil
Externí odkaz:
http://arxiv.org/abs/2312.14522
Autor:
Vyas, Vivek M.
A generalised notion of geometric phase for pure states is proposed and its physical manifestations are shown. An appreciation of fact that the interference phenomenon also manifests in the average of an observable, allows us to define the argument o
Externí odkaz:
http://arxiv.org/abs/2301.10929
Autor:
Vyas, Vivek M.
Here a generalised argument showing the existence of the Bloch superselection rule is presented, in response to the recent comment by Sowinski. In light of the role played by the periodic boundary condition, locality and topology in the system, the c
Externí odkaz:
http://arxiv.org/abs/2212.02097
Autor:
Vyas, Vivek M.
Publikováno v:
Physics Letters A, Volume 417 (29th November 2021) 127699
Here we show that two Bloch states, which are energy eigenstates of a quantum periodic potential problem, with different wavevectors can not be linearly superposed to display quantum interference of any kind that captures the relative phase between t
Externí odkaz:
http://arxiv.org/abs/2104.03622
Autor:
Vyas, Vivek M., Roy, Dibyendu
Publikováno v:
Phys. Rev. B 103, 075441 (2021)
A non-Hermitian generalization of the Su-Schrieffer-Heeger model driven by a periodic external potential is investigated, and its topological features are explored. We find that the bi-orthonormal geometric phase acts as a topological index, well cap
Externí odkaz:
http://arxiv.org/abs/2011.06947
Autor:
Vyas, Vivek M., Roy, Dibyendu
Three decades ago, in a celebrated work, Zak found an expression for the geometric phase acquired by an electron in a one-dimensional periodic lattice as it traverses the Bloch band. Such a geometric phase is useful in characterizing the topological
Externí odkaz:
http://arxiv.org/abs/1909.00818
We show that the non-homogeneous charged layer distribution of the LaAlO 3 /SrT iO 3 heterostructure undergoing interface reconstruction is the density wave ground state of the well known anharmonic lattice model described by the {\lambda}{\phi} 4 co
Externí odkaz:
http://arxiv.org/abs/1807.04447
Autor:
Vyas, Vivek M.
Publikováno v:
Am. J. Phys. 86 (10), October 2018, pg. 750-754
Accelerating non-spreading wavepackets in nonrelativistic free particle system, with probability distribution having an Airy function profile, were discovered by Berry and Balazs (1979), and have been subsequently realised in several optical experime
Externí odkaz:
http://arxiv.org/abs/1710.10302
Autor:
Vyas, Vivek M., Panigrahi, Prasanta K.
Publikováno v:
Physics Letters B, 771 (2017), 588-592
A parity invariant theory, consisting of two massive Dirac fields, defined in three dimensional space-time, with the confinement of a certain current is studied. It is found that the electromagnetic field, when coupled minimally to these Dirac fields
Externí odkaz:
http://arxiv.org/abs/1706.00734
It is shown that in (2+1)-dimensional condensed matter systems, induced gravitational Chern-Simons (CS) action can play a crucial role for coherent spin transport in a finite geometry, provided zero-curvature condition is satisfied on the boundary. T
Externí odkaz:
http://arxiv.org/abs/1611.06376