title: Squeezed states and quantum nondemolition measurements

authors: Milburn, Gerard James

abstract: The first four chapters of this thesis are concerned with the detailed mathematical and physical properties of special minimum uncertainty states of the electromagnetic field: the “squeezed states”. These are states with reduced quantum fluctuations in certain observables (the quadrature phase amplitudes).

In chapter two it is shown that the one mode and two mode squeezed states are obtained by acting on the vacuum state with elements of the sympletic group in one and two dimensions respectively. 

In chapter three properties of squeezed states in a quantum optical context are investigated. The complex P representation of Drummond and Gardiner is shown to be especially useful for discussing the non-classical statistics of these states, and the complex P-representation for a squeezed state is obtained. An analysis of the effect of irreversible dynamics on squeezed states is also given. 

In chapter four a detailed analysis of three devices proposed to produce squeezed states; degenerate parametric oscillation, two photon absorption and dispersive optical bistability, is presented. It is shown in an exact, fully quantum treatment that the reduction of fluctuations obtainable in all these devices is limited, when operated in a steady state regime. The greatest reduction of fluctuations (a factor of two) occurs in the parametric oscillator operated at threshold. The addition of a second driving field in this device enables the direction of squeezing to be changed.

The final two chapters are given over to a discussion of Quantum Non Demolition (QND) measurements. In chapter five a particular QND scheme (back action evading) is analysed. This is based on a parametric amplification interaction. The complex p representation is used to discuss the non-unitary effects of damping and state reduction in a unified way. It is shown that the parametric amplifier, despite being non back action evading, is useful for making QND measurements. 

Finally in chapter six, two quantum counting QND schemes, based on quantum optical four wave mixing interactions, are analysed. The effect of state reduction is included, thus enabling an analysis of a measurement sequence.

text: Squeezed states and quantum nondemolition measurements The first four chapters of this thesis are concerned with the detailed mathematical and physical properties of special minimum uncertainty states of the electromagnetic field: the “squeezed states”. These are states with reduced quantum fluctuations in certain observables (the quadrature phase amplitudes).

In chapter two it is shown that the one mode and two mode squeezed states are obtained by acting on the vacuum state with elements of the sympletic group in one and two dimensions respectively. 

In chapter three properties of squeezed states in a quantum optical context are investigated. The complex P representation of Drummond and Gardiner is shown to be especially useful for discussing the non-classical statistics of these states, and the complex P-representation for a squeezed state is obtained. An analysis of the effect of irreversible dynamics on squeezed states is also given. 

In chapter four a detailed analysis of three devices proposed to produce squeezed states; degenerate parametric oscillation, two photon absorption and dispersive optical bistability, is presented. It is shown in an exact, fully quantum treatment that the reduction of fluctuations obtainable in all these devices is limited, when operated in a steady state regime. The greatest reduction of fluctuations (a factor of two) occurs in the parametric oscillator operated at threshold. The addition of a second driving field in this device enables the direction of squeezing to be changed.

The final two chapters are given over to a discussion of Quantum Non Demolition (QND) measurements. In chapter five a particular QND scheme (back action evading) is analysed. This is based on a parametric amplification interaction. The complex p representation is used to discuss the non-unitary effects of damping and state reduction in a unified way. It is shown that the parametric amplifier, despite being non back action evading, is useful for making QND measurements. 

Finally in chapter six, two quantum counting QND schemes, based on quantum optical four wave mixing interactions, are analysed. The effect of state reduction is included, thus enabling an analysis of a measurement sequence.

year: 1982

title: Synthesis, microstructure and mechanical properties of bulk ultrafine grained Ti-47Al-2Cr (at%) alloy

authors: Nadakuduru, Vijay Navaratna

subjects: ultrafine grained

abstract: Hot isostatic pressing (HIP) and powder compact forging of Ti/Al/Cr composite powders of composition Ti-47Al-2Cr (at%) have been carried out to synthesize bulk ultrafine grained Ti-47Al-2Cr alloy. The Ti/Al/Cr composite powders were produced using high energy mechanical milling of elemental Ti, Al, Cr powders in a retsch planetary mill. The microstructure and mechanical properties of the bulk consolidated alloy produced using different processing techniques has been investigated. The mechanical properties of the alloy were studied in tension and compression both at room and elevated temperatures especially to know the formability of the material.

The bulk alloy samples produced by HIP for 2 hours at 1000 degrees C had porosity of approximately ~ 5%, indicating that the HIP time was not sufficient to close the pores. The microstructure mainly consisted of TiAl as the major phase and Ti(Al) and Ti3Al as minors, the unreacted Ti(Al) phase in the microstructure was mainly due to the initial powder condition, in which a small fraction of powder particles were rich in Ti. Tensile testing of the alloy samples was carried out at different temperatures. At room temperature the alloy was fairly brittle, without any plastic deformation, and had a fracture strength of ~ 100 MPa. At elevated temperatures the samples became ductile, as reflected by considerable amounts of tensile elongations at 800 degrees C and above. The maximum amount of elongation was found to be between 70 - 80% at 900 degrees C. The tensile yield strength at 800 degrees C was in the range of 84-90 MPa and decreased to 55-58 MPa with the testing temperature of the samples to 900 degrees C. In compression the alloy showed plastic yielding and yield strength of ~ 1.4 GPa at room temperature. Compression testing at 900 degrees C revealed that compressive deformations equivalent to a height reduction of 50% could be easily achieved without cracking. 

 Direct powder compact forging using canned powder compacts of the Ti/Al/Cr composite powder was successfully used to produce bulk consolidated Ti-47Al-2Cr alloy samples. It has been observed that the density of the bulk consolidated alloy sample after forging varied from the centre to the periphery. XRD analysis showed that the forged samples, consisted of TiAl (as major phase) along with Ti(Al) and Ti3.3Al phases. Mechanical testing of the samples showed that the samples exhibited brittle type of fracture both in tension and compression at room temperature and the fracture strength of the samples was in the range of 115 - 130 MPa in tension and 1.38-1.4 GPa in compression without any yielding. When being tested at 900 degrees C, the samples became very ductile showing yield strength in the range of 70-90 MPa and elongation to fracture between 80-165% in tension, and a yield strength of ~ 65 MPa and 50% deformation in compression was easily achievable.

 Nearly fully dense Ti-47-2Cr alloy samples with density of ~98% were produced by using HIP at 1000 degrees C for a duration of 3 hours. TEM observations revealed equiaxed grains with grain sizes in the range of 200-500 nm. The tensile testing of the alloy samples at different temperatures revealed that the brittle to ductile transition temperature of the alloy was in the range of 700 and 750 degrees C, similar to that reported from literatures. The alloy showed significantly higher strengths both at room and at elevated temperatures, due to the low level of porosity in the sample. Elongation of  95 - 117% at 750 degrees C  and 70-100% at 800 degrees C was observed.

The ultrafine grained Ti-47Al-2Cr alloy produced using a combination of mechanical milling and HIP/powder compact forging has demonstrated good formability at elevated temperatures leaving a large space for secondary processing to improve the quality of the material.

text: Synthesis, microstructure and mechanical properties of bulk ultrafine grained Ti-47Al-2Cr (at%) alloy Hot isostatic pressing (HIP) and powder compact forging of Ti/Al/Cr composite powders of composition Ti-47Al-2Cr (at%) have been carried out to synthesize bulk ultrafine grained Ti-47Al-2Cr alloy. The Ti/Al/Cr composite powders were produced using high energy mechanical milling of elemental Ti, Al, Cr powders in a retsch planetary mill. The microstructure and mechanical properties of the bulk consolidated alloy produced using different processing techniques has been investigated. The mechanical properties of the alloy were studied in tension and compression both at room and elevated temperatures especially to know the formability of the material.

The bulk alloy samples produced by HIP for 2 hours at 1000 degrees C had porosity of approximately ~ 5%, indicating that the HIP time was not sufficient to close the pores. The microstructure mainly consisted of TiAl as the major phase and Ti(Al) and Ti3Al as minors, the unreacted Ti(Al) phase in the microstructure was mainly due to the initial powder condition, in which a small fraction of powder particles were rich in Ti. Tensile testing of the alloy samples was carried out at different temperatures. At room temperature the alloy was fairly brittle, without any plastic deformation, and had a fracture strength of ~ 100 MPa. At elevated temperatures the samples became ductile, as reflected by considerable amounts of tensile elongations at 800 degrees C and above. The maximum amount of elongation was found to be between 70 - 80% at 900 degrees C. The tensile yield strength at 800 degrees C was in the range of 84-90 MPa and decreased to 55-58 MPa with the testing temperature of the samples to 900 degrees C. In compression the alloy showed plastic yielding and yield strength of ~ 1.4 GPa at room temperature. Compression testing at 900 degrees C revealed that compressive deformations equivalent to a height reduction of 50% could be easily achieved without cracking. 

 Direct powder compact forging using canned powder compacts of the Ti/Al/Cr composite powder was successfully used to produce bulk consolidated Ti-47Al-2Cr alloy samples. It has been observed that the density of the bulk consolidated alloy sample after forging varied from the centre to the periphery. XRD analysis showed that the forged samples, consisted of TiAl (as major phase) along with Ti(Al) and Ti3.3Al phases. Mechanical testing of the samples showed that the samples exhibited brittle type of fracture both in tension and compression at room temperature and the fracture strength of the samples was in the range of 115 - 130 MPa in tension and 1.38-1.4 GPa in compression without any yielding. When being tested at 900 degrees C, the samples became very ductile showing yield strength in the range of 70-90 MPa and elongation to fracture between 80-165% in tension, and a yield strength of ~ 65 MPa and 50% deformation in compression was easily achievable.

 Nearly fully dense Ti-47-2Cr alloy samples with density of ~98% were produced by using HIP at 1000 degrees C for a duration of 3 hours. TEM observations revealed equiaxed grains with grain sizes in the range of 200-500 nm. The tensile testing of the alloy samples at different temperatures revealed that the brittle to ductile transition temperature of the alloy was in the range of 700 and 750 degrees C, similar to that reported from literatures. The alloy showed significantly higher strengths both at room and at elevated temperatures, due to the low level of porosity in the sample. Elongation of  95 - 117% at 750 degrees C  and 70-100% at 800 degrees C was observed.

The ultrafine grained Ti-47Al-2Cr alloy produced using a combination of mechanical milling and HIP/powder compact forging has demonstrated good formability at elevated temperatures leaving a large space for secondary processing to improve the quality of the material.

year: 2009

title: Local Contexts: Traditional Knowledge (TK) Labels for Ngāi Tai ki Tamaki

authors: Hamilton-Pearce, Janette

subjects: Local Contexts

abstract: How can the Local Contexts Traditional Knowledge (TK) Labels ground the rights of Ngāi Tai ki Tamaki in datasets and digital infrastructure? This presentation will help to address this question.

text: Local Contexts: Traditional Knowledge (TK) Labels for Ngāi Tai ki Tamaki How can the Local Contexts Traditional Knowledge (TK) Labels ground the rights of Ngāi Tai ki Tamaki in datasets and digital infrastructure? This presentation will help to address this question.

year: 2022-07-27