Researchers are using quantumdegenerate atomic gases 16, ultracold polar molecules 79, and ensembles of trapped ions 10, 11 to realize previously unidentified quantum phases of matter and simulate complex condensed matter systems. Studies of ultracold gases in optical lattices provide a means for testing fundamental and applicationoriented quantum manybody concepts of condensedmatter physics in well controllable atomic. The nook book ebook of the ultracold atoms in optical lattices. Ultracold atoms in optical lattices represent an ideal platform for simulations of quantum many.
Probing quantum phases of ultracold atoms in optical. Today, his dream has become a reality in laboratories around the world. We study properties of ultracold bosonic atoms in one, two and three dimensional optical lattices by large scale quantum monte carlo simulations of the bose hubbard model in parabolic confinement. Quantum simulation using ultracold ytterbium atoms in an. In the seminar, physical principles underlying behavior of atoms in optical lattices are presented. Quantum simulation, a subdiscipline of quantum computation, can provide valuable insight into difficult quantum problems in physics or chemistry. Quantum measurementinduced dynamics of manybody ultracold. Simulating quantum many body systems 9780199573127.
The combined action of trapping potentials, optical lattices and low temperature cooling techniques, provide a. Simulating quantum manybody systems, by maciej lewenstein, anna sanpera and veronica ahufinger. Ultracold atoms in optical lattices hardcover maciej lewenstein. Quantum theory of cold bosonic atoms in optical lattices. Quantum simulation using ytterbium atoms in an optical lattice takeshi fukuhara1, seiji sugawa 1, takuya tsujimoto, yosuke takasu, and yoshiro takahashi1,2 kyoto university1, jstcrest2 quantum simulation 1p 1 1s 0 3p 1 atomic beam ccd camera z e e m a n s l o w e r antihelmholtz coils 399nm zeeman slowing laser. Ultracold atoms and molecules in optical lattices sciencedirect. Magnetic quantum phase transition of cold atoms in an optical. Apr 16, 2015 a team of physicists from mpq, caltech, and icfo proposes the combination of nanophotonics with ultracold atoms for simulating quantum many body systems and creating new states of matter. Studies of ultracold atoms in optical lattices link various disciplines, providing a playground where fundamental quantum many body concepts, formulated in. The key feature of these systems are the complete control of the many body systems, combined with a microscopic understanding of the underlying dynamics. A pin ball machine for atoms and photons sciencedaily. This new experimental environment opens the way to studying manybody physics from the socalled mean.
The diculties have its origin in the expo nential scaling of the required resources in time and space with the number of particles the system consists of. Phil thesis, michaelmas 2010 ultracold atoms in optical lattices can be used to model condensed matter systems. When atoms are illuminated with laser beams, the electric eld of the laser induces a dipole moment in the atoms which in turn interacts with the electric eld. Ultracold atoms in optical lattices simulating quantum many body systems maciej lewenstein, anna sanpera, and veronica ahufinger. A new quantum gas microscope that bridges the gap between microscopic and macroscopic approaches to the study of quantum systems has been developed. Ultracold quantum gases in triangular optical lattices. They form powerful model systems of quantum many body systems in periodic potentials for probing nonlinear wave dynamics and strongly correlated quantum phases, building fundamental quantum gates or. Apr 21, 2015 ultracold atoms in the socalled optical lattices, which are generated by crosswise superposition of laser beams, have been proven to be one of the most promising tools for simulating and. Quantum simulation using ultracold atoms in twodimensional. The physics of quantum degenerate gases in optical lattices has rapidly grown to one of the most accounted. Atoms in optical lattices systems with long range dipolar interactionssystems with long range dipolar. Quantum optics of quantum manybody systems university of. Additionally, employing several analytical and numerical methods for the calculation of many body ground states, we demonstrate the variety of condensedmatter problems that can be attacked with qss consisting of ultracold ions or neutral atoms in optical lattices. These socalled optical lattices act as versatile potential landscapes to trap ultracold quantum gases of bosons and fermions.
Controlling spin exchange interactions of ultracold atoms in optical lattices l. Cold atoms in optical lattices foundation for research. Maciej lewenstein, anna sanpera, and veronica ahufinger. In this chapter, we will summarize some of the important results obtained in quantum simulation research into quantum many body systems using ultracold atoms in an optical lattice. We apply these algorithms to the bosehubbard hamiltonian, a truncation of the full many body hamiltonian in second quantization that accurately describes the physics of ultracold bosons in deep optical lattices. Quantum coherence and entanglement with ultracold atoms in. Manybody physics in threedimensional optical lattices. Experiments with tunable quantum gases in optical lattices. Physics, yerevan state university a thesis submitted for the degree of doctor of philosophy centre for quantum technologies national university of singapore 2015. Ultracold quantum gases in optical lattices nature physics. Quantum state transfer with ultracold atoms 2 systems extremely accessible with the possibility to address, even locally in limited and controllable regions of space, most of the system parameters. Macdonald1 1department of physics, the university of texas at austin, austin, texas 78712, usa 2department of physics, texas state university, san marcos, texas 78666, usa.
Quantum coherence and entanglement with ultracold atoms in optical lattices immanuel bloch 1 at nanokelvin temperatures, ultracold quantum gases can be stored in optical lattices, which are arrays of. Within this setting, quantum gas microscopes enable single atom observation and manipulation in large samples. Feynman originally conceived for a quantum computer. First comprehensive book on ultracold gases in optical lattices. Ultracold atoms in optical lattices represent an ideal platform for simulations of quantum manybody problems. Large scale quantum simulations using ultracold atomic gases in optical lattices mo. Special emphasis is given to usage of such systems to simulate many body quantum systems. Simulating quantum manybody systems kindle edition by maciej lewenstein, anna sanpera, veronica ahufinger. Quantum state transfer with ultracold atoms in optical lattices.
Ultracold quantum gases in triangular optical lattices 2 1. Quantum simulation of strongly correlated condensed matter. The physics of ultracold atoms, ions and molecules offer unprecedented possibilities of control of quantum many body systems and novel possibilities of applications to quantum information processing and quantum metrology. Large scale quantum simulations using ultracold atomic gases. Quantum gauge theory simulation with ultracold atoms. They provide a clean, tuneable system which can be engineered to. Theoretical quantum optics of ultracold quantum gases. Probing quantum phases of ultracold atoms in optical lattices. This new experimental environment opens the way to study manybody physics from so. Dima abanin, thierry giamarchi, sarang gopalakrishnan, adilet imambekov, takuya kitagawa, michael knap, mikhail lukin, maksim serbin. They form powerful model systems of quantum manybody systems in periodic potentials for probing nonlinear wave dynamics and strongly correlated quantum phases, building fundamental quantum gates or. Quantum simulations with ultracold atoms in optical lattices christian gross1 and immanuel bloch1,2 quantum simulation, a subdiscipline of quantum computation, can provide valuable insight into difficult quantum problems in physics or chemistry. Quantum computers for special purposes like quantum simulators are already within reach. Cold atoms in optical lattices provide a useful experimental means to investigate quantum manybody systems due to the advantage of cleanness and controllability.
Strongly correlated quantum manybody systems have become a major focus of modern science. Lukin2 1institute for quantum information, california institute of technology, mc 10781, pasadena, california 91125, usa. Additionally, we describe a scheme for the quantum simulation of a topological schwinger model exploiting spinchanging collisions in bosonfermion mixtures of ultracold atoms in optical lattices. Topological quantum matter with ultracold gases in optical lattices.
The experimental and theoretical achievements in the last three decades in the control and manipulation of quantum matter at macroscopic scales lead to the so called third quantum revolution. Controlling spin exchange interactions of ultracold atoms in. It makes a route through the physics of cold atoms in periodic potentials starting from the simple. Simulating quantum manybody systems, by maciej lewenstein, anna sanpera and veronica. Quantum simulations with ultracold atoms in optical lattices. Nanophotonics with ultracold atoms for simulating quantum. Ultracold quantum gases in triangular optical lattices arxiv. The physics of ultracold atoms, ions, and molecules offers unprecedented possibilities of control of quantum many systems, and novel possibilities of applications for quantum information and quantum metrology. H34 a quantum simulator for carrying out complex physics calculations. Quantum simulation using ytterbium atoms in an optical lattice. Optical lattice is formed by the interference of counterpropagating laser beams, which creates e ective potential that traps ultracold atoms. Ultracold atoms in optical lattices hardcover maciej. We follow here the lines of the introduction to our book ultracold atoms in optical lattices. This thesis covers most of my work in the field of ultracold atoms loaded in optical lattices.
The study of ultracold atoms constitutes one of the hottest areas of atomic, molecular, and optical physics and quantum optics. Classical and quantum simulations of manybody systems. Review quantum simulations with ultracold atoms in optical. Quantum simulation using ultracold atoms in twodimensional optical lattices sarah alassam, balliol college, oxford d. Extensive works have been done in the past few years, such as implementing quantum phase transitions from a super. Quantum theory of cold bosonic atoms in optical lattices dagim tilahun,1,2 r. Ultracold quantum gases in optical lattices can in fact be considered as quantum simulators, as richard p. Ultracold atoms in optical lattices generated by quantized. A versatile system to explore few and manybody physics in periodic potentials david petrosyan iesl forth, greece. A quantum gas microscope for detecting single atoms in a. Simulating quantum manybody systems by maciej lewenstein, anna sanpera, veronica orders may be delayed. Quantum simulations of lattice gauge theories using ultracold.
Studying the ultimate quantum limit of the lightmatter interaction. Quantum manybody dynamics of ultracold atoms in optical lattices ultrakalte atome in optischen gittern. Quantum technology with cold atoms in ring shaped optical lattices davitaghamalyan msc. Request pdf on apr 1, 20, maciej lewenstein and others published ultracold atoms in optical lattices. Quantum monte carlo simulations of confined bosonic atoms in.
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