Quantum mechanics allows us to use nonclassical states of light to make measurements with a greater precision than comparable classical states. Here an experiment is presented that squeezes the polarization state of three photons. We demonstrate the deep connection that exists between squeezing and entanglement, unifying the squeezed state and multi-photon entangled state approaches to quantum metrology. For the first time we observe the phenomenon of over-squeezing where a system is squeezed to the point that further squeezing leads to a counter-intuitive increase in measurement uncertainty. Quasi-probability distributions on the surface of a Poincaré sphere are the most natural way to represent the topology of our polarization states. Using this representation it is easy to observe the squeezing and over-squeezing behaviour of our photon states.\nWork is also presented on two different technologies for generating nonclassical states of light. The first is based on the nonlinear process of spontaneous parametric downconversion to produce pairs of photons. With this source up to 200,000 pairs of photons/s have been collected into single-mode fibre, and over 100 double pairs/s have been detected. This downconversion source is suitable for use in a wide variety of multi-qubit quantum information applications. The second source presented is a single-photon source based on semiconductor quantum dots. The single-photon character of the source is verified using a Hanbury Brown-Twiss interferometer.
Quantum mechanics allows us to use nonclassical states of light to make measurements with a greater precision than comparable classical states. Here an experiment is presented that squeezes the polarization state of three photons. We demonstrate the deep connection that exists between squeezing and entanglement, unifying the squeezed state and multi-photon entangled state approaches to quantum metrology. For the first time we observe the phenomenon of over-squeezing where a system is squeezed to the point that further squeezing leads to a counter-intuitive increase in measurement uncertainty. Quasi-probability distributions on the surface of a Poincaré sphere are the most natural way to represent the topology of our polarization states. Using this representation it is easy to observe the squeezing and over-squeezing behaviour of our photon states.\nWork is also presented on two different technologies for generating nonclassical states of light. The first is based on the nonlinear process of spontaneous parametric downconversion to produce pairs of photons. With this source up to 200,000 pairs of photons/s have been collected into single-mode fibre, and over 100 double pairs/s have been detected. This downconversion source is suitable for use in a wide variety of multi-qubit quantum information applications. The second source presented is a single-photon source based on semiconductor quantum dots. The single-photon character of the source is verified using a Hanbury Brown-Twiss interferometer.
Advances in photonics will lead to breakthroughs in technology with a similar impact to that resulted from the development of electronics. At the quantum level, photons exhibit some unique features, such as non-classical correlations and bosonic bunching. The manipulation of these quanta of light foresee the construction of quantum devices capable of outperforming their classical counterparts in the purposes for which they are built. Despite a significant progress in developing quantum technologies, several unsolved issues certainly remain: Efficient quantification of quantum correlations in a system, and manipulation of multiple photons at once, are two of such hurdles to be overcome. In this thesis, we tackle these two issues and present experimental progress towards their solution. We first explore quantum entanglement between two single-photons and its effect on phases appearing on the system's wavefunction. The observed phases revealed an intimate connection between entanglement––a purely quantum phenomena––and geometric and topological structures of abstract manifolds: A special case of geometric phases was found to increase monotonically with the amount of entanglement in the system, thus serving as an alternative measure of quantum correlations. We then employed a system of three single-photons, and two concatenated entangling gates, as the basis of a quantum simulation protocol: A three-particle quantum simulator, mimicking the entangling evolution of two particles, is used to experimentally demonstrate that the overhead in measuring concurrence––a measure of two-particle entanglement––can be significantly reduced down to measuring only two observables. At this point, increasing the number of photons being handled proved extremely difficult; the low efficiency of photon sources based on parametric downconversion––the gold-standard and only source at-the-time used for multi-photon experiments––imposed a hard limit on countrates and hence the number of photons to be manipulated. We thus then focused on overcoming this obstacle: We studied a solid-state emitter and its performance as a multi-photon source. We employed a quantum dot-cavity system to show that streams of tens of indistinguishable single-photons are produced, whose temporal-to-spatial demultiplexing serves as a novel kind of multi-photon source. A three-photon source was then built and employed in the first demonstration of multi-photon interference from a solid-state source: We implemented a BosonSampling device with a source that is between one and two orders-of-magnitude more efficient than its downconversion counterpart. The main limiting factors for scaling to higher photon numbers were identified to be not intrinsic to the solid-state emitter, but determined by low detector efficiencies and the probabilistic nature of the demultiplexing scheme. Future improvements on these limitations are expected to allow the generation of sources with a higher number of single-photons, a task that has to date remained otherwise impossible.
The fields of quantum and nonlinear optics have given rise to a variety of nonclassical states of light that have been proven to surpass certain limitations set by classical physics. Namely, certain squeezed and entangled states have been shown to beat the shot-noise limit when making precision phase measurements in interferometry, as well as write lithographic patterns that are smaller than classically allowed by the Rayleigh diffraction limit. Additionally, single-photon sources and entangled photon pairs have given rise to provably secure quantum key distribution for cryptography. Producing these quantum states of light has proven a difficult task. Nonlinear crystals, when pumped by a laser, produce pairs of single photons via the process of spontaneous parametric down conversion (SPDC). This process is mediated by the second order nonlinear susceptibility of the material. When pumped in a high gain regime, these crystals give rise to optical parametric amplification, which is a viable source of squeezed light. The vast majority of research in this area has focused on crystals that are seeded by vacuum in their two modes. This dissertation concerns the field of quantum nonlinear optics. It is an investigation into the processes that occur when nonlinear materials interact with the electromagnetic field on the single photon level. I have focused on seeding nonlinear crystals with quantum states of light, including single photons and entangled states. This process results in various states directly applicable to interferometry, imaging, and cryptography. Another application investigated is an absolute radiance measurement via stimulated parametric down conversion resulting from non-vacuum seeding of a nonlinear crystal. Additionally, other nonlinear processes, including four-wave mixing, nonlinear magneto-optical effects and coherent population trapping in warm atomic vapor involving quantum states of light are investigated. The process of seeding third-order nonlinear interactions, such as in atomic vapors, gives rise to a variety of interesting, nonclassical phenomena such as entangled image transfer and nonlocal imaging. Strong analogies between SPDC and four-wave mixing are drawn. I also experimentally show an all optical pi-only phase shift of one light beam via another in warm Cesium vapor.
Non-classical states of light are of fundamental importance for emerging quantum technologies. All optics experiments producing multi-qubit entangled states have until now relied on outcome post-selection, a procedure where only the measurement results corresponding to the desired state are considered. This method severely limits the usefulness of the resulting entangled states. fiere, we show the direct production of polarization- entangled photon triplets by cascading two entangled down-conversion processes[1]. First, a Sagnac source [2] produces non-degenerate entangled photon pairs at 776 nm and 842 nm in a Bell state. The 776 nm photon is sent through a polarizing Mach-Zehnder interferometer with a down-conversion crystal in each arm. If it is down-converted, a photon pair is created in modes 2 and 3 with a polarization state depending on the pump photon. The quantum stete describing the photon triplets is:
This thesis analyses the effects of two-photon interference in a polarisation squeezed state under two different points of view: on one hand, it presents a new method to obtain the temporal wavefunction of a state of two photons; on the other hand, it studies the microscopic entanglement properties of a collective nonclassical polarisation state, such as the polarisation squeezed state. The complete characterisation of an unknown quantum state often requires complicated reconstruction methods due to its complex nature: in the first part of this thesis, we describe a new technique to recover completely the wavefunction of a state with two photons (a ¿biphoton¿) with just few simple measurements, thanks to the interference with a coherent reference. With this technique, we reconstruct successfully the wavefunction of single-mode biphotons from a low-intensity narrowband squeezed vacuum state. Many large collective systems that feature nonclassical properties, e.g. superconductivity and squeezing, show entanglement among their components at their microscopic level. Here we report the first direct study of this kind of entanglement for light polarisation. In analogy with the spin-squeezing inequalities that connect squeezing to entanglement for atomic ensembles, we derive an inequality valid for states with classical polarisation correlations, whose violation implies pairwise entanglement among the photons in the state. We consider a polarisation squeezed state that results from the combination in the same spatial mode of a squeezed vacuum state, generated by an optical parametric oscillator (OPO), and a coherent state with orthogonal polarisations: we find that this kind of state always violates our inequality within the coherence time of the squeezed vacuum state. We also quantify the entanglement between the photon pairs by computing the concurrence of the two-photon reduced density matrix: we find that the states that exhibit higher entanglement satisfy the condition for higher visibility of the two-photon interference. We also find that the concurrence is larger for lower squeezing levels, in agreement with the monogamy of entanglement and in analogy to the atomic case. This translation of spin-squeezing inequalities to the optical domain enables us to test directly the squeezing-entanglement relationship. We generate a squeezed vacuum state with an OPO and we combine it with a coherent state to generate a polarisation squeezed state and we measure the photon pair counts for different polarisation bases. We recover the density matrices corresponding to different realisations of the polarisation squeezed state via quantum tomography: all the density matrices that we reconstruct with this method are entangled, with concurrence up to 0.7. Our measurements confirm several theoretical predictions, including entanglement of all photon pairs within the squeezing coherence time. En esta tesis se analizan los efectos de la interferencia de dos fotones en un estado comprimido en polarización desde dos puntos de vista: por un lado, se presenta un nuevo método para obtener la función de onda temporal de un estado de dos fotones; por el otro, se estudian las propiedades de entrelazamiento microscópico de un estado colectivo de polarización no clásico, como el estado comprimido en polarización. La completa caracterización de un estado cuántico desconocido requiere frecuentemente métodos de reconstrucción complicados debido a su compleja naturaleza: en la primera parte de esta tesis describimos una nueva técnica para recuperar completamente la función de onda de un estado con dos fotones (un bifotón) usando pocas medidas sencillas, gracias a la interferencia con un estado coherente de referencia. Con esta técnica, reconstruimos con éxito la función de onda de los bifotones que pertenecen a un estado de vacío comprimido de banda estrecha y de baja intensidad. Muchos sistemas colectivos con un gran número de partículas que presentan propiedades no clásicas, como por ejemplo superconductividad y estados comprimidos, muestran entrelazamiento entre sus componentes a nivel microscópico. Aquí describimos el primer estudio directo de este tipo de entrelazamiento para los estados de polarización de la luz. En analogía con las desigualdades para estados comprimidos en espín, derivamos una desigualdad válida para estados con correlaciones clásicas en polarización, cuya violación implica entrelazamiento en parejas entre los fotones del estado. Consideramos un estado comprimido en polarización, que es el resultado de la combinación en el mismo modo espacial de un estado de vacío comprimido generado por un oscilador óptico paramétrico (OPO) y de un estado coherente con polarización ortogonal al primero: hallamos que estos estados violan nuestra desigualdad siempre que nos encontremos dentro del tiempo de coherencia del estado de vacío comprimido. Cuantificamos también el entrelazamiento entre las parejas de fotones calculando la concurrencia de la matriz de densidad reducida de dos fotones: observamos que los estados que tienen mayor entrelazamiento satisfacen la condición para la visibilidad máxima de la interferencia entre bifotones. Hallamos también que la concurrencia es mayor para niveles de compresión menores, en acuerdo con la monogamia del entrelazamiento, siendo este resultado análogo al caso atómico. El trasladar estas desigualdades para los estados comprimidos en espín al dominio óptico nos permite observar directamente la relación entre estados comprimidos y entrelazamiento de manera experimental. Con este fin generamos un estado de vacío comprimido con un OPO y lo combinamos con un estado coherente para obtener un estado comprimido en polarización y contamos las parejas de fotones en diferentes bases de polarización. Con estas medidas reconstruimos las matrices de densidad que corresponden a diferentes versiones del estado comprimido en polarización usando tomografía cuántica: todas las matrices de densidad que hemos obtenido con este método están entrelazadas, mostrando valores de concurrencia de hasta 0.7. Nuestras medidas confirman las predicciones teóricas, entre las que se encuentra el entrelazamiento de todas las parejas de fotones dentro del tiempo de coherencia del estado entrelazado.
Squeezed states of light and entangled photon source are fundamental resources for quantum science and technology, enabling advances in quantum communication, computation, and precision metrology. Here, we experimentally demonstrate the generation of ultrabright squeezed vacuum and entangled photon pairs via type-I high-gain parametric down-conversion. Using femtosecond pump pulses at 1,030 nm, we produce ultrabright squeezed vacuum with pulses energies on the order of 10 μJ at a central wavelength of 2,060 nm, corresponding to a photon number exceeding 10 14 . By implementing SU(1,1) interferometric configuration, we achieve flexible control over the mode structure, allowing the transition between multimode entangled photon pairs and nearly single-mode squeezed states. This results provide a high-intensity quantum light source that facilitates the study of nonclassical ultrafast dynamics.
Spontaneous parametric downconversion At the heart of all quantum optics experiments is called as Spontaneous parametric downconversion. This is a downconversion process when the output frequency is smaller than the input frequency. The whole process is Spontaneous. Experimentally we have to downconvert the photons and convert them into pairs of a photon. We use the Beta-barium borate(BBO) crystals to downconvert the coming violet-blue laser. We find the maximum number of counts on detectors and their coincidence. When the BBO crystals is well aligned, we find no difference in detecting vertically or horizontally polarized photons because they are orthogonal to each other. Proof of existence of photons We want to investigate the properties and verification of quantization of light. Experimently we want to establish the existence of single photon which shows the grainy-ness of individual photon quantum mechanically and shows wave like behaviour classically. We get the coincidences counts on detectors with addition of detector B’ by using PBS in the path of signal beam. Experimentally we prove the Quantum as well as classical nature of light by the measurement of second-order degree coherence in light g2(0). For classically the g2(0)≥1 and quantum mechanically g2(0)=0.When we add the delay time interval of 1ns after reflected and transmitted photons from PBS signal beam. The delay generator did not create a significant difference in the coincidence counts detection in the value of g2(τ ). Single photon interference and quantum eraser we want to observe the interference by making the single photons pass through the interferometer, and we will see the interference of the single photons. If the light passes through the interferometer, the visibility of the interference pattern to which extent these fringes are observed is dependent on the extent to which the ’which-way’ or ’which-path’ information is available to the experimenter. If the observer knows the information about the ’which-way’ of the light path, then we cannot observe the inference pattern. Because we only can make an interference pattern if we erase the which-way information of the light path. If you erase the information about the’ which-way,’ we can observe a very high interference pattern. We can erase the information about the light path’s ’which-way’ or ’which-path’ by using a polarizer and orienting at 45o. In this way, we can observe a very high pattern. If we introduce the angle of the polarizer at 0o or 90o, we see very low interference.