There is, I think, something ethereal about i —the square root of minus one. I remember first hearing about it at school. It seemed an odd beast at that time—an intruder hovering on the edge of reality.

Usually familiarity dulls this sense of the bizarre, but in the case of i it was the reverse: over the years the sense of its surreal nature intensified. It seemed that it was impossible to write mathematics that described the real world in …

I and i

Bose-Einstein condensation (BEC) has been observed in a dilute gas of sodium atoms. A Bose-Einstein condensate consists of a macroscopic population of the ground state of the system, and is a coherent state of matter. In an ideal gas, this phase transition is purely quantum-statistical. The study of BEC in weakly interacting systems which can be controlled and observed with precision holds the promise of revealing new macroscopic quantum phenomena that can be understood from first principles.

Bose-Einstein condensation in a gas of sodium atoms

Rydberg atoms with principal quantum number $n⪢1$ have exaggerated atomic properties including dipole-dipole interactions that scale as ${n}^{4}$ and radiative lifetimes that scale as ${n}^{3}$. It was proposed a decade ago to take advantage of these properties to implement quantum gates between neutral atom qubits. The availability of a strong long-range interaction that can be coherently turned on and off is an enabling resource for a wide range of quantum information tasks stretching far beyond the original gate proposal. Rydberg enabled capabilities include long-range two-qubit gates, collective encoding of multiqubit registers, implementation of robust light-atom quantum interfaces, and the potential for simulating quantum many-body physics. The advances of the last decade are reviewed, covering both theoretical and experimental aspects of Rydberg-mediated quantum information processing.

Quantum information with Rydberg atoms

Simulating quantum mechanics is known to be a difficult computational problem, especially when dealing with large systems However, this difficulty may be overcome by using some controllable quantum system to study another less controllable or accessible quantum system, ie, quantum simulation Quantum simulation promises to have applications in the study of many problems in, eg, condensed-matter physics, high-energy physics, atomic physics, quantum chemistry and cosmology Quantum simulation could be implemented using quantum computers, but also with simpler, analog devices that would require less control, and therefore, would be easier to construct A number of quantum systems such as neutral atoms, ions, polar molecules, electrons in semiconductors, superconducting circuits, nuclear spins and photons have been proposed as quantum simulators This review outlines the main theoretical and experimental aspects of quantum simulation and emphasizes some of the challenges and promises of this fast-growing field

Quantum Simulation

Experiments with ultracold quantum gases provide a platform for creating many-body systems that can be well controlled and whose parameters can be tuned over a wide range. These properties put these systems in an ideal position for simulating problems that are out of reach for classical computers. This review surveys key advances in this field and discusses the possibilities offered by this approach to quantum simulation.

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Quantum simulations with ultracold quantum gases

A new quantum gas microscope that bridges the gap between microscopic and macroscopic approaches to the study of quantum systems has been developed. It uses high-resolution optical imaging to detect single atoms held in a holographically generated optical lattice. Its potential is demonstrated by the production of images of single rubidium atoms confined to an optical lattice with spacings of just 640 nanometres between atoms. The approach should facilitate quantum simulation of condensed-matter systems and find possible application in addressing and read-out of large-scale quantum information systems based on ultracold atoms. There are two different approaches for creating complex atomic many-body quantum systems — the macroscopic and the microscopic — which have, until now, been fairly disconnected. A quantum gas 'microscope' is now demonstrated that bridges the two approaches and can be used to detect single atoms held in a Hubbard-regime optical lattice. This quantum gas microscope may enable addressing and read-out of large-scale quantum information systems based on ultracold atoms. Recent years have seen tremendous progress in creating complex atomic many-body quantum systems. One approach is to use macroscopic, effectively thermodynamic ensembles of ultracold atoms to create quantum gases and strongly correlated states of matter, and to analyse the bulk properties of the ensemble. For example, bosonic and fermionic atoms in a Hubbard-regime optical lattice1,2,3,4,5 can be used for quantum simulations of solid-state models6. The opposite approach is to build up microscopic quantum systems atom-by-atom, with complete control over all degrees of freedom7,8,9. The atoms or ions act as qubits and allow the realization of quantum gates, with the goal of creating highly controllable quantum information systems. Until now, the macroscopic and microscopic strategies have been fairly disconnected. Here we present a quantum gas ‘microscope’ that bridges the two approaches, realizing a system in which atoms of a macroscopic ensemble are detected individually and a complete set of degrees of freedom for each of them is determined through preparation and measurement. By implementing a high-resolution optical imaging system, single atoms are detected with near-unity fidelity on individual sites of a Hubbard-regime optical lattice. The lattice itself is generated by projecting a holographic mask through the imaging system. It has an arbitrary geometry, chosen to support both strong tunnel coupling between lattice sites and strong on-site confinement. Our approach can be used to directly detect strongly correlated states of matter; in the context of condensed matter simulation, this corresponds to the detection of individual electrons in the simulated crystal. Also, the quantum gas microscope may enable addressing and read-out of large-scale quantum information systems based on ultracold atoms.

/pdf/a-quantum-gas-microscope-for-detecting-single-atoms-in-a-5adqz8gcx7.pdf

A quantum gas microscope for detecting single atoms in a Hubbard-regime optical lattice

Quantum gases in optical lattices offer an opportunity to experimentally realize and explore condensed matter models in a clean, tunable system. We used single atom-single lattice site imaging to investigate the Bose-Hubbard model on a microscopic level. Our technique enables space- and time-resolved characterization of the number statistics across the superfluid-Mott insulator quantum phase transition. Site-resolved probing of fluctuations provides us with a sensitive local thermometer, allows us to identify microscopic heterostructures of low-entropy Mott domains, and enables us to measure local quantum dynamics, revealing surprisingly fast transition time scales. Our results may serve as a benchmark for theoretical studies of quantum dynamics, and may guide the engineering of low-entropy phases in a lattice.

/pdf/probing-the-superfluid-to-mott-insulator-transition-at-the-41wb1b6hmi.pdf

Probing the Superfluid–to–Mott Insulator Transition at the Single-Atom Level

From Superfluid to Mott Insulator One of the most attractive characteristics of cold atomic gases in optical lattices is their ability to simulate condensed-matter systems. The results of these quantum simulations are usually averaged over the atomic ensemble, or course-grained over several lattice sites. Now, Bakr et al. (p. 547, published online 17 June; see the Perspective by DeMarco) provide a single lattice site view onto the transition of a Bose gas of Rb-87 from the superfluid to the Mott-insulating state. Characteristic concentric shells of uniform number density were observed deep in the Mott insulator regime, and probing the local quantum dynamics revealed unexpectedly short time scales. The low-defect Mott structures identified may provide a starting point for quantum magnetism experiments. Imaging of atoms that were optically trapped in lattice sites reveals local dynamics of a quantum phase transition. Quantum gases in optical lattices offer an opportunity to experimentally realize and explore condensed matter models in a clean, tunable system. We used single atom–single lattice site imaging to investigate the Bose-Hubbard model on a microscopic level. Our technique enables space- and time-resolved characterization of the number statistics across the superfluid–Mott insulator quantum phase transition. Site-resolved probing of fluctuations provides us with a sensitive local thermometer, allows us to identify microscopic heterostructures of low-entropy Mott domains, and enables us to measure local quantum dynamics, revealing surprisingly fast transition time scales. Our results may serve as a benchmark for theoretical studies of quantum dynamics, and may guide the engineering of low-entropy phases in a lattice.

Probing the Superfluid to Mott Insulator Transition at the Single Atom Level

Remifentanil is a new, esterase-metabolized opioid for anesthesia. Nonspecific esterases terminate the drug effect, with a context-sensitive half-time which plateaus at 3-4 min. This dose-ranging pilot study was designed to estimate the dose requirement of remifentanil for abolition of the responses to skin incision and intraoperative stimuli, and to determine the speed of recovery. Fifty-one unpremedicated patients took part at two centers. Anesthesia was induced with propofol, 67% nitrous oxide, and vecuronium. Remifentanil was then given (1 μg/kg, plus an infusion of 0.0125-1.0 μg. kg -1 . min -1 ). Responses were defined as : >15% increase in systolic blood pressure or >20% increase in heart rate, tearing, sweating, movement, or coughing. Responses to incision or surgery were treated with 0.5 μg/kg remifentanil boluses and a 50% increase in infusion rate, which could be done twice. Subsequent responses were treated with propofol or isoflurane. Remifentanil and nitrous oxide administration were terminated after the incision was closed. ED50 for response to skin incision varied between the two study sites (0.020 and 0.087 μg. kg -1 . min -1 ). ED50 for response to all surgical stimuli was 0.52 μg. kg -1 . min -1 . At 0.3 μg. kg -1 . min -1 or more, only 3 of 21 patients required isoflurane. Recovery was not longer in patients receiving larger doses to spontaneous ventilation (2.5-4.6 min), tracheal extubation (4.2-7.0 min), and response to verbal command (3.0-4.6 min). Postoperative pain was reported in most patients (92%) at a median time of 21 min. We conclude that remifentanil was effective and well tolerated as a component of nitrous oxide-opioid-relaxant anesthesia. Over the 80-fold range of infusion rates given, patients awoke, breathed, and were tracheally extubated within a few minutes.

Amy Peng

Papers

A quantum gas microscope for detecting single atoms in a Hubbard-regime optical lattice

Probing the Superfluid–to–Mott Insulator Transition at the Single-Atom Level

Probing the Superfluid to Mott Insulator Transition at the Single Atom Level

Initial clinical experience with remifentanil, a new opioid metabolized by esterases.

Differential Motion Dynamics of Synaptic Vesicles Undergoing Spontaneous and Activity-Evoked Endocytosis