Quantum manybody dynamics of ultracold atoms in optical lattices ultrakalte atome in optischen gittern. Interferometric probes of quantum manybody systems of. Simulating quantum manybody systems, by maciej lewenstein, anna sanpera and veronica ahufinger. Ultracold atoms for simulation of many body quantum systems. Until recently, reliable timedependent simulation of these systems was limited due to exponential growth of the hilbert space with the size of the quantum system. Quantum manybody dynamics of ultracold atoms in optical lattices. Ultracold atoms in optical lattices paperback maciej. Since quantum simulators do not suffer from the notorious sign problem, they open the door to studies of the real.
A technique for cooling ultracold atoms in optical lattices has been demonstrated. Simulating quantum manybody systems, by maciej lewenstein, anna sanpera and veronica. 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. Special emphasis is given to usage of such systems to simulate manybody quantum systems. Osa asymmetric population of momentum distribution by quasi. Quantum link models extend the concept of lattice gauge theories beyond the wilson formulation, and are well suited for both digital and analog quantum simulation using ultracold atomic gases in optical lattices. Quantum simulations of lattice gauge theories using ultracold.
However, most of the works so far concentrate on quantum simulations of lattice gauge theories, which are more suited for quantum simulation using optical lattices. Tightbinding models for ultracold atoms in optical lattices can be properly defined by using the concept of maximally localized wannier functions for composite bands. Studies of ultracold atoms in optical lattices link various disciplines, providing a playground where fundamental quantum manybody concepts, formulated in. We demonstrate how the control of such systems can be extended down to the most fundamental. A read is counted each time someone views a publication summary such as the title, abstract, and list of authors, clicks on a figure, or views or downloads the fulltext. In the seminar, physical principles underlying behavior of atoms in optical lattices are presented. Particularly fascinating is the possibility of using ultracold atoms in lattices to simulate condensed matter or even high energy physics. The physics of ultracold atoms, ions, and molecules offer unprecedented possibilities of control of quantum manybody systems and novel. Who can use it the program is targeted to researchers, principally, in the fields of theoretical and experimental dynamics of ultracold atoms or electrons in atoms or molecules. Interferometric probes of quantum many body systems of ultracold atoms eugene demler harvard university funded by nsf, harvardmit cua, afosr, darpa, muri collaborators. These socalled optical lattices act as versatile potential landscapes to trap ultracold quantum gases of bosons and fermions. In this work, we investigate the impact of the ramping process of the driving signal and propose a simple but effective method to realize desired asymmetric population in momentum distribution by controlling the initial phase of the driving signal. Quantum optical lattices for emergent many body phases of ultracold atoms santiago f. Quantum simulations with ultracold atoms in optical lattices.
A team of physicists from mpq, caltech, and icfo proposes the combination of nanophotonics with ultracold atoms for simulating quantum many. They provide a clean, tuneable system which can be engineered to. We follow here the lines of the introduction to our book ultracold atoms in optical lattices. Theoretical quantum optics of ultracold quantum gases. Phil thesis, michaelmas 2010 ultracold atoms in optical lattices can be used to model condensed matter systems. Superfluid to mott transition looking for higgs particle in the bose hubbard model quantum magnetism with ultracold atoms in optical lattices ldi i l d tlow dimensional condensates. Controlling spin exchange interactions of ultracold atoms in. 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. Notes on lewenstein, sanpera, and ahu ngers ultracold atoms. 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. Quantum simulation of strongly correlated condensed matter systems. Optical lattices have rapidly become a favoured tool of atomic and condensedmatter physicists. Studying the ultimate quantum limit of the lightmatter interaction.
In this thesis, i report on experiments that microscopically probe quantum phase transitions of ultracold atoms in optical lattices. Ultracold atoms in optical lattices simulating quantum manybody systems maciej lewenstein, anna sanpera, and veronica ahufinger. However, there are some new ideas about lowdimensional systems that i didnt know beforehand. One of the most prominent examples of wellcontrollable manybody systems is ultracold atoms trapped in periodical micropotentials created by laser beams. 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. The combined action of trapping potentials, optical lattices and low temperature cooling techniques, provide a. Quantum optical lattices for emergent manybody phases of. Quantum simulation using ultracold ytterbium atoms in an. The standard procedure for modeling a manybody quantum system consists of two basic.
Simulating the fermi hubbard model with ultracold atoms in. Quantum optics of quantum manybody systems university of. We study complex quantum manybody dynamics of ultracold bosons in onedimensional optical lattice potentials. The key feature of these systems are the complete control of the many body systems, combined with a microscopic understanding of the underlying dynamics. The hardcover of the ultracold atoms in optical lattices. Review quantum simulations with ultracold atoms in optical. Experiments in tilman esslingers group, eth zurich. Ultracold atoms in optical lattices simulating quantum many body systems maciej lewenstein, anna sanpera, and veronica ahufinger. Quantum state transfer with ultracold atoms in optical lattices. Simulating quantum manybody systems jimmy qin fall 2019 ch 2.
Interferometric probes of quantum manybody systems of ultracold atoms eugene demler harvard university funded by nsf, harvardmit cua, afosr, darpa, muri collaborators. Quantum optical lattices for emergent manybody phases of ultracold atoms santiago f. The simulation of quantum manybody dynamics with ultracold atoms in op. When atoms are illuminated with laser beams, the electric eld of the laser induces a dipole moment in. Here we propose a feasible protocol to perform analog quantum simulation of frustrated antiferromagnetism with strong quantum fluctuations by using. Quantum simulation using ultracold atoms in twodimensional. The key feature of these systems are the complete control of the manybody systems, combined with a microscopic understanding of the underlying dynamics. Ultracold atoms in optical lattices represent an ideal platform for simulations of quantum many. Tightbinding models for ultracold atoms in optical lattices.
Request pdf on apr 1, 20, maciej lewenstein and others published ultracold atoms in optical lattices. Ultracold atoms and molecules in optical lattices sciencedirect. Simulating quantum manybody systems by maciej lewenstein, anna sanpera, veronica ahufinger pdf, epub ebook d0wnl0ad quantum computers, though not yet available on the market, will revolutionize the future of information processing. Simulating the fermi hubbard model with ultracold atoms in optical lattices. In this chapter, we will summarize some of the important results obtained in quantum simulation research into quantum manybody systems using ultracold atoms in an optical lattice. A pin ball machine for atoms and photons sciencedaily. One of the most prominent examples of wellcontrollable many body systems is ultracold atoms trapped in periodical micropotentials created by laser beams. 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.
Frustrated quantum magnetism with bose gases in triangular. Hofstetter institut fuer theoretische physik a, rwth aachen, templergraben 55, 52056 aachen, germany received 16 february 2005. Ultracold atoms in optical lattices represent an ideal platform for simulations of quantum manybody problems. Veronica ahufinger this title explores the physics of atoms frozen to ultralow temperatures and trapped in periodic light structures. We discuss how these systems can be used to simulate many body physics. The extremely high controllability that is offered by systems of ultracold atoms in optical lattices has already allowed some highly impressive work to be accomplished. Quantum coherence and entanglement with ultracold atoms in. Special emphasis is given to usage of such systems to simulate many body quantum systems.
First comprehensive book on ultracold gases in optical lattices. Quantum simulation of manybody physics with neutral atoms. Microscopic studies of quantum phase transitions in optical. 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.
Mar 20, 2020 here we propose a feasible protocol to perform analog quantum simulation of frustrated antiferromagnetism with strong quantum fluctuations by using ultracold bose gases in optical lattices at. These crystals made of light can be used to trap atoms at very low temperatures, creating a workshop. Quantum simulations with ultracold atoms atoms in optical lattice. Notes on lewenstein, sanpera, and ahu ngers ultracold atoms in optical lattices. Atoms in optical lattices systems with long range dipolar interactionssystems with long range dipolar interactions. Ultracold atoms in periodicaldriven optical lattices enable us to investigate novel band structures and explore the topology of the bands. We have developed a quantum gas microscope that allowed, for the. Superfluid to mott transition looking for higgs particle in the bose hubbard model quantum magnetism with ultracold atoms in optical lattices low dimensional condensates observing quasilong range order in interference experiments observation of prethermolization.
This advance should allow the physics of strongly correlated systems, including that of. Probing quantum phases of ultracold atoms in optical lattices. Maciej lewenstein, anna sanpera, and veronica ahufinger. Quantum manybody dynamics of ultracold atoms in optical. Quantum computers for special purposes like quantum simulators are already within reach. Workshop on quantum simulations with ultracold atoms. Quantum simulation, a subdiscipline of quantum computation, can provide valuable insight into difficult quantum problems in physics or chemistry. Quantum gases are a unique tool that can be used for. Some condensed matter much of this chapter is familiar. 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. Mekhov clarendon laboratory, department of physics, university of oxford, parks road, oxford ox1 3pu, united kingdom.
Additionally, employing several analytical and numerical methods for the calculation of manybody 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. Within this setting, quantum gas microscopes enable single atom observation and manipulation in large samples. 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. Nanophotonics with ultracold atoms for simulating quantum. Controlling spin exchange interactions of ultracold atoms in optical lattices l. Quantum simulation using ultracold atoms in twodimensional optical lattices sarah alassam, balliol college, oxford d. Quantum simulations of lattice gauge theories using ultracold atoms in optical lattices erez zohar1, j ignacio cirac1 and benni reznik2. Quantum simulations of lattice gauge theories using. 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. Quantum optical feedback control for creating strong. Dima abanin, thierry giamarchi, sarang gopalakrishnan, adilet imambekov, takuya kitagawa, michael knap, mikhail lukin, maksim serbin.
Lukin2 1institute for quantum information, california institute of technology, mc 10781, pasadena, california 91125, usa. Computational physics and quantum simulations recent pioneering experiments with ultracold atoms have opened up experimental regimes in which manybody quantum physics can be investigated with unprecedented simplicity and precision. Quantum simulation using ultracold atoms in an optical lattice of continuous qed has been suggested in. Dima abanin, thierry giamarchi, sarang gopalakrishnan, adilet imambekov, takuya. Ultracold atoms in optical lattices hardcover maciej.