Amplified spontaneous emission is usually treated as an incoherent noise process. Recent theoretical and experimental work using rephasing optical pulses has shown that rephased amplified spontaneous emission (RASE) is a potential source of wide bandwidth time-delayed entanglement. Due to poor echo efficiency the plain RASE protocol does not in theory achieve perfect entanglement. Experiments done to date show a very small amount of entanglement at best. Here we show that RASE can, in principle, produce perfect multimode time-delayed two mode squeezing when the active medium is placed inside a Q-switched cavity.
Amplified spontaneous emission is usually treated as an incoherent noise process. Recent theoretical and experimental work using rephasing optical pulses has shown that rephased amplified spontaneous emission (RASE) is a potential source of wide bandwidth time-delayed entanglement. Due to poor echo efficiency the plain RASE protocol does not in theory achieve perfect entanglement. Experiments done to date show a very small amount of entanglement at best. Here we show that RASE can, in principle, produce perfect multimode time-delayed two mode squeezing when the active medium is placed inside a Q-switched cavity.
This thesis investigates an entangled light source with an in-built quantum memory based on the protocol of rephased amplified spontaneous emission (RASE). RASE has promising applications as a building-block of a quantum repeater: a device essential for extending the range of current quantum communication links. To be useful RASE must be able to produce high fidelity non-classical light with high efficiency, and be able to store multimode entanglement for long times. This thesis characterises the RASE source and determines to what degree these requirements can be met. The experimental RASE demonstration was conducted in a rare-earth ion doped crystal. Rare-earth ions provide a particularly promising platform for developing quantum technologies as they possess long coherence times on both the optical and hyperfine transitions. In the RASE protocol an inverted ensemble of two-level atoms amplifies the vacuum fluctuations resulting in amplified spontaneous emission (ASE). This results in entanglement between the output optical field and the collective modes of the amplifying ensemble. The collective atomic state dephases due to the inhomogeneous broadening of the ensemble but this can be rephased using photon echo techniques. When the ensemble rephases, a second optical field, the rephased amplified spontaneous emission (RASE), is emitted and is entangled with the ASE. In this thesis, a modified four-level rephasing scheme is used that allows the single photon signals to be spectrally resolved from any coherent background emission associated with the bright driving fields. In addition, four-level RASE incorporates storage on the long-lived hyperfine ground states. Two experiments are described in this thesis. First, a free-space four-level RASE demonstration using continuous-variable detection. In this experiment the different sources of noise were characterised and low noise operation was shown to be possible. Entanglement of the ASE and RASE was confirmed by violating the inseparability criterion with 98.6% confidence. In addition, entanglement was demonstrated after storage of the collective atomic state on the spin states and RASE was shown to be temporally multimode, with almost perfect distinguishability between two temporal modes demonstrated. The degree of entanglement between the ASE and RASE was limited by the rephasing efficiency, which saturated at 3%. It was determined that distortion of the rephasing pulses as they propagate through the optically thick ensemble was the probable cause of the low efficiency. The second experiment was a preliminary cavity-enhanced RASE demonstration. Theoretically perfect rephasing efficiency can be obtained by placing the crystal in an impedance-matched optical cavity. The initial cavity design showed encouraging evidence of an enhancement in the rephasing efficiency, with a 4-fold improvement over the free-space experiment. Improvements to the cavity design were proposed to allow a further increase in the rephasing efficiency of RASE. In summary, this thesis provides an extensive characterisation of an entangled light source with an in-built quantum memory based on rephasing spontaneous emission from an ensemble of ions. Importantly, the RASE scheme allows generation and storage of entanglement in a single protocol, which holds great promise for the development of integrated quantum networks.
In this paper we report the first demonstration of “cavity enhanced rephased amplified spontaneous emission”. The rephased amplified spontaneous emission (RASE) protocol provides an all-in-one photon-pair source and quantum memory that has applications as a quantum repeater node. Cavity enhancement of the interaction of the optical mode with the ensemble has the potential to improve the fidelity of the entanglement of the photon pairs. Using heterodyne detection, amplified emission and photon echo induced rephased amplified emission were observed from a Pr3+ doped Y2SiO5 crystal placed in a Fabry Perot cavity with a finesse of 70. Modifications to the experiment to allow non-classical correlations to be observed are discussed.
It has been proposed that secure communication over large distances can be achieved using quantum repeater protocols. Two key components which are required for a repeater are an entangled light source and a quantum memory. The approach investigated here, is to use a protocol which incorporates both a memory and entangled light source using rephased amplified spontaneous emission (RASE). To be a viable repeater, RASE must achieve second long storage times, and efficiencies exceeding 90%. The focus of this thesis was to investigate the mechanisms limiting the efficiency of RASE. In this work, RASE was performed in the rare-earth ion-doped crystal Pr3+:Y2SiO5, and the coherence was stored on the ground hyperfine transition for 5 µs. Rare-earth ion-doped crystals are an ideal platform for RASE because they offer long optical and hyperfine coherence times. The hyperfine transitions are of particular interest, because the memory storage times required for repeater can be engineered. RASE works by inverting an ensemble of two-level atoms to create the optical gain necessary for amplified spontaneous emission (ASE). Detection of ASE heralds the ensemble into a collective state which is entangled with the emitted field. Because the ensemble is inhomogeneously broadened, the collective state will then begin to dephase. The state can be rephased, after a tunable delay time, and the entanglement readout as a second optical field (RASE). In this work, the metric chosen to confirm entanglement was the inseparability criterion. In previous work, the two emitted fields of light were proven to be entangled with significant confidence, however, the rephasing efficiency was limited to 3% [1]. The explanation for this was a mismatch between the first and second pass of the beam through the crystal, which was the consequence of a retroreflective mirror being positioned incorrectly. In this thesis, the beam mismatch, caused by the position of the mirror, was shown to not affect the RASE experiment. Instead, the RASE experiment is more likely to be affected by a spatial mode mismatch which is caused by the distortion of the control pulses. The effect of these distortions was observed in the efficiency measurement of RASE. According to the theory, the efficiency of RASE should consistently improve with optical depth. Experimentally, however, in the regime where the two fields were entangled, the efficiency was maximized at 8.3% when the optical depth was 0.8. The performance then began to deteriorate when the optical depth exceeded 1. This result, therefore, informs how the RASE experiment should be designed in the future. Specifically, care should be taken to correct for the effects of any spatial mode distortions, in order for RASE to operate at the threshold efficiency required for a quantum repeater.
Amplified spontaneous emission is a common noise source in active optical systems, it is generally seen as being an incoherent process. Here we excite an ensemble of rare earth ion dopants in a solid with a π pulse, resulting in amplified spontaneous emission. The application of a second π pulse leads to a coherent echo of the amplified spontaneous emission that is correlated in both amplitude and phase. For small optical thicknesses, we see evidence that the amplified spontaneous emission and its echo are entangled.
This thesis explores the concept of photon-echo-rephasing of the spontaneous emission from an ensemble of atoms. This generates entangled photon pairs, with intermediate storage and on-demand recall of one photon of the pair. In the first instance, this has applications as a single photon source. A more advanced application is as a building-block of a quantum repeater protocol, which is essential for expanding the range and versatility of current quantum communication links. The system used for this experimental demonstration of rephased amplified spontaneous emission (RASE) is a rare-earth ion doped crystal; Pr:YSO. Rare earth ion crystals are promising candidates for practical quantum information processing devices, largely because they possess long coherence times on both optical and hyperfine transitions. To achieve the rephasing, a novel pulse sequence utilizing four atomic levels is developed and characterized. This pulse sequence allows for the single-photon signals to be resolved spatially, spectrally, and temporally from any background coherent emission associated with the bright driving fields. It is seen that spontaneous emission can indeed be rephased using this sequence, however the degree of correlation measured was not sufficient to prove a non-classical correlation. This is attributed to an insufficient signal to noise ratio. The sources of background noise are identified, and strategies proposed to enable improved correlation measurements in future RASE experiments. The most significant noise contribution is spontaneous emission that differs only slightly in frequency from the signal. Single-photon counters are used for the RASE detection; appropriate for discrete-variable quantum repeater applications, but lacking any frequency resolution. Therefore auxiliary frequency filtering is required. Narrow-band (~kHz) filtering is performed in the RASE experiment using spectral hole-burning properties of the Pr:YSO sample itself. Furthermore, a concept for a dynamic filter is developed and tested. This uses a combination of hole-burning and Stark-shifting. The demonstration involves switching between two MHz-wide transmission windows, 10.2 MHz apart. Each spectral region is switched from an absorption of ~0.5 dB to 60 dB in a matter of micro-seconds. This technique will be particularly useful in future RASE experiments for tunable frequency discrimination. An additional noise source that is found to fundamentally limit the fidelity of RASE in this system is due to uncorrelated spontaneous emission at the same frequency as the RASE signal. This emission is a direct consequence of the low branching ratio of the optical transition. A means of avoiding this emission is proposed; namely to place the sample in a cavity to effectively enhance the branching ratio. Aside from the quality of the photon correlations, another important aspect of RASE is the storage time. Methods are discussed for achieving long memory times (~1 s) in the Pr:YSO system, using transitions between ground state hyperfine levels. In general this thesis presents a series of experiments that lay the foundation for generating entanglement between photonic and collective-atomic states, through the measurement and rephasing of spontaneous emission from an ensemble of atoms.
Here, we demonstrate generating and storing entanglement in a solid-state spin-wave quantum memory with on-demand readout using the process of rephased amplified spontaneous emission (RASE). Amplified spontaneous emission (ASE), resulting from an inverted ensemble of Pr^{3+} ions doped into a Y_{2}SiO_{5} crystal, generates entanglement between collective states of the praseodymium ensemble and the output light. The ensemble is then rephased using a four-level photon echo technique. Entanglement between the ASE and its echo is confirmed and the inseparability violation preserved when the RASE is stored as a spin wave for up to 5 μs. RASE is shown to be temporally multimode with almost perfect distinguishability between two temporal modes demonstrated. These results pave the way for the use of multimode solid-state quantum memories in scalable quantum networks.