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Following the first demonstration in 1987 by Arthur Ashkin of trapping of biological objects with infrared laser light, optical tweezers have become increasingly useful and versatile tool in a variety of non-contact micromanipulation experiments in biological applications. In this thesis we demonstrated various applications of optical tweezers in botanical sciences, chemical engineering and anatomical sciences. The investigation of the three-dimensional shape of spinach chloroplasts has been accomplished. This was done using a steerable and a stationary trap system. A trapped rotating calcite crystal positioned close to a chloroplast provided means for inducing the rotation and orientation of chloroplast. The utility of rotating birefringent particles is demonstrated for the first time in biological applications. The stirrer method is a versatile method in orienting any biological object to study its shape and/or structure. Also, we demonstrated the ability of optical tweezers to fix and displace chloroplasts inside a living spinach plant cell. In the second part of the work described in this thesis, the steerable trap was used to study the viscoelastic properties of a polymeric filament that connects a single bacterium to an activated sludge floc. Also we estimated the minimum bonding force that can cause a weak interaction between the bacterium surface and the filament using optical tweezers as a transducer. This force was estimated to be at least 10 pN. These measurements are of value in improving activated sludge flocculation and ultimately the wastewater treatment process. In addition, the steerable trap was used to move small organelles inside large bacteria cells. The repositioning of organelles resulted in creating new internal cell structure. In the final part of the thesis, experiments are described where the laser tweezers system was combined with a cw argon-ion laser microbeam to investigate the fusion of smooth muscle cells and macrophages. In order to minimize the optical damage to the cells, a special arrangement was established to create short pulses for cutting the contact of the cell membrane of the two-fusion cell partners. The effectiveness of the cutting function of the pulsed system when used at 488 nm wavelength varied from cell to cell. The laser parameters such as laser power, pulse duration and repetition rate were varied in order to obtain the best working function of the setup. But overall the results indicate that the relatively long (ms) pulses possible may not be well suited to such applications.

In this thesis I consider the general problem of how to make the best possible phase measurements using feedback. Both the optimum input state and optimum feedback are considered for both single-mode dyne measurements and two-mode interferometric measurements. I derive the optimum input states under general dyne measurements when the mean photon number is fixed, both for general states and squeezed states. I propose a new feedback scheme that introduces far less phase uncertainty than mark II feedback, and is very close to the theoretical limit. I also derive results for the phase variance when there is a time delay in the feedback loop, showing that there is a lower limit to the introduced phase variance, and this is approached quite accurately under some conditions. I derive the optimum input states for interferometry, showing that the phase uncertainty scales as 1/N for all the common measures of uncertainty. This is contrasted with the |j0> state, which does not scale as 1/N for all measures of phase uncertainty. I introduce an adaptive feedback scheme that is very close to optimum, and can give scaling very close to 1/N for the uncertainty. Lastly I consider the case of continuous measurements, for both the dyne and interferometric cases.

In this thesis we study the Dicke model outside the rotating wave approximation (RWA), by employing phase space techniques and the quantum trajectory theory. We present a review of the basic models of open systems in quantum optics and present an experimental proposition justifying the model to be studied. We use the phase space approach to study, among other subjects, entanglement, squeezing and fluctuations across a quantum phase transition. Three different phase space representations are used and their strengths and weaknesses compared. The quantum trajectory theory is applied to visualise the global quantum fluctuations and to learn how different measurement schemes will affect the creation of entanglement. / The University of Auckland, Department of Physics.

In this thesis we study the Dicke model outside the rotating wave approximation (RWA), by employing phase space techniques and the quantum trajectory theory. We present a review of the basic models of open systems in quantum optics and present an experimental proposition justifying the model to be studied. We use the phase space approach to study, among other subjects, entanglement, squeezing and fluctuations across a quantum phase transition. Three different phase space representations are used and their strengths and weaknesses compared. The quantum trajectory theory is applied to visualise the global quantum fluctuations and to learn how different measurement schemes will affect the creation of entanglement. / The University of Auckland, Department of Physics.

In this thesis we study the Dicke model outside the rotating wave approximation (RWA), by employing phase space techniques and the quantum trajectory theory. We present a review of the basic models of open systems in quantum optics and present an experimental proposition justifying the model to be studied. We use the phase space approach to study, among other subjects, entanglement, squeezing and fluctuations across a quantum phase transition. Three different phase space representations are used and their strengths and weaknesses compared. The quantum trajectory theory is applied to visualise the global quantum fluctuations and to learn how different measurement schemes will affect the creation of entanglement. / The University of Auckland, Department of Physics.

In this thesis we study the Dicke model outside the rotating wave approximation (RWA), by employing phase space techniques and the quantum trajectory theory. We present a review of the basic models of open systems in quantum optics and present an experimental proposition justifying the model to be studied. We use the phase space approach to study, among other subjects, entanglement, squeezing and fluctuations across a quantum phase transition. Three different phase space representations are used and their strengths and weaknesses compared. The quantum trajectory theory is applied to visualise the global quantum fluctuations and to learn how different measurement schemes will affect the creation of entanglement. / The University of Auckland, Department of Physics.