Diptiman Sen
Articles written in Pramana – Journal of Physics
Volume 41 Issue S1 July 1993 pp 493-502
Volume 58 Issue 2 February 2002 pp 205-216
Siddhartha Lal Sumathi Rao Diptiman Sen
With a brief introduction to one-dimensional channels and conductance quantization in mesoscopic systems, we discuss some recent experimental puzzles in these systems, which include reduction of quantized conductances and an interesting
Volume 64 Issue 5 May 2005 pp 634a-634b
Sushanta Dattagupta H R Krishnamurthy Rahul Pandit T V Ramakrishnan Diptiman Sen
Volume 64 Issue 6 June 2005 pp 828-828a
Sushanta Dattagupta H R Krishnamurthy Rahul Pandit T V Ramakrishnan Diptiman Sen
We investigate the solvability of a variety of well-known problems in lattice statistical mechanics. We provide a new numerical procedure which enables one to conjecture whether the solution falls into a class of functions called
Volume 71 Issue 2 August 2008 pp 403-412
Victor Mukherjee Uma Divakaran Amit Dutta Diptiman Sen
In this paper we review the quenching dynamics of a quantum $XY$ spin-1/2 chain in the presence of a transverse field, when the transverse field or the anisotropic interaction is quenched at a slow but uniform rate. We also extend the results to the cases in which the system starts with any arbitrary initial condition as opposed to the initial fully magnetically aligned state which has been extensively studied earlier. The evolution is non-adiabatic in the time interval when the parameters are close to their critical values, and is adiabatic otherwise. The density of defects produced due to non-adiabatic transitions is calculated by mapping the many-particle system to an equivalent Landau–Zener problem. We show that in one dimension the density of defects in the final state scales as $1/\sqrt{\tau}$ irrespective of the initial condition, where 𝜏 is the quenching time-scale. However, the magnitude of density of defects is found to depend on the initial condition.
Volume 97, 2023
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