40 lines
1.5 KiB
TeX
40 lines
1.5 KiB
TeX
%*******************************************************************************
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%*********************************** Fifth Chapter *****************************
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%*******************************************************************************
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\chapter{Density Measurement Induced Dynamics}
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% Title of the Fifth Chapter
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\ifpdf
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\graphicspath{{Chapter5/Figs/Raster/}{Chapter5/Figs/PDF/}{Chapter5/Figs/}}
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\else
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\graphicspath{{Chapter5/Figs/Vector/}{Chapter5/Figs/}}
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\fi
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\section{Introduction}
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In the previous chapter we have introduced a theoretical framework
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which will allow us to study measurement backaction using
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discontinuous quantum jumps and non-Hermitian evolution due to null
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outcomes. We have also wrapped our quantum gas model in this quantum
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trajectory formalism by considering ultracold bosons in an optical
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lattice coupled to a cavity which collects and enhances light
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scattered in one particular direction. One of the most important
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conclusions of the previous chapter was that the introduction of
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measurement introduces a new energy and time scale into the picture.
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In this chapter, we investigate the effect of quantum measurement
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backaction on the many-body state of atoms.
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\section{Large-Scale Dynamics due to Weak Measurement}
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\section{Three-Way Competition}
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\section{Emergent Long-Range Correlated Tunnelling}
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\section{Non-Hermitian Dynamics in the Quantum Zeno Limit}
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\section{Steady-State of the Non-Hermitian Hamiltonian}
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\section{Conclusions} |