The Quantum Jump Approach and Some of Its Applications

Current urbanisation trends in India show a quantum jump in number of ‘census towns’, which are not statutorily declared as urban areas, but have acquired all characteristics of urban settlements. Sizeable number of such census towns are not located near any Class 1 city. Lack of proper and timely planning has led to unplanned growth of these settlements. This article is based on a review of planning legislations, institutional framework and planning process of four states in India. The present article analyses the scope and limitations of the planning process adopted in the rapidly urbanising rural areas of these states. The findings reveal that states are still following a conventional approach to planning that treats ‘urban’ and ‘rural’ as separate categories and highlights the need for adopting an integrated territorial approach to planning of settlements.

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Taking snapshots of a quantum thermalization process: Emergent classicality in quantum jump trajectories

Physical Review E ◽

10.1103/physreve.102.042115 ◽

2020 ◽

Vol 102 (4) ◽

Author(s):

Charlie Nation ◽

Diego Porras

Keyword(s):

Quantum Jump

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Dressed-state analysis of three-level quantum-jump experiments

Physical Review A ◽

10.1103/physreva.37.3293 ◽

1988 ◽

Vol 37 (9) ◽

pp. 3293-3301 ◽

Cited By ~ 11

Author(s):

M. Ligare

Keyword(s):

Quantum Jump ◽

Dressed State ◽

State Analysis

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THE QUANTUM TRAJECTORY APPROACH TO GEOMETRIC PHASE FOR OPEN SYSTEMS

Modern Physics Letters A ◽

10.1142/s0217732305017718 ◽

2005 ◽

Vol 20 (22) ◽

pp. 1635-1654 ◽

Cited By ~ 4

Author(s):

ANGELO CAROLLO

Keyword(s):

Quantum System ◽

Open System ◽

Geometric Phase ◽

Open Systems ◽

Quantum Trajectory ◽

Operational Method ◽

Markovian Approximation ◽

Physical Systems ◽

Quantum Jump ◽

Trajectory Approach

The quantum jump method for the calculation of geometric phase is reviewed. This is an operational method to associate a geometric phase to the evolution of a quantum system subjected to decoherence in an open system. The method is general and can be applied to many different physical systems, within the Markovian approximation. As examples, two main source of decoherence are considered: dephasing and spontaneous decay. It is shown that the geometric phase is to very large extent insensitive to the former, i.e. it is independent of the number of jumps determined by the dephasing operator.

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