Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Science

Stimulated Symmetry

Published Sep 27, 2007• 0 citations
Publisher

Abstract

Whereas the underlying parameters of condensed matter systems may be fixed, thereby limiting the phase space in which to vary the material properties, the ability to tune and manipulate atoms or molecules trapped in an optical lattice opens up that phase space. With success demonstrated already in systems with isotropic symmetry, as in the case of the superfluid-to-Mott-insulator transition of bosons on a square lattice, interest is now in describing systems with an anisotropic symmetry in the order parameter. Hemmerich and Morais Smith describe a scenario for imprinting a dx2-y2 wave symmetry onto an array of polarizable bosons confined to a two-dimensional (2D) optical lattice. They show theoretically that exciting the atoms by stimulated Raman scattering can result in the formation of a checkerboard-like pattern of staggered flux states on adjacent plaquettes of the 2D lattice, resulting in a d-wave momentum distribution. The proposed scenario offers the prospect of engineering optical lattices for the modeling of complex interacting phenomena from the likes of high-temperature superconductivity to magnetic frustration. — ISO

DOI
10.1126/science.317.5846.1834d

Related papers

Mixed-Up Molecules

Cooling atoms, both bosons and fermions, to ultra-low temperatures has provided the opportunity to probe distinct quantum phases of matter. The ability to then trap these atoms, or even molecules, in optical lattices and tune the interactions between them presents the possibility of an ideal and clean quantum system that can act as a surrogate for complex condensed-matter systems in which the tuning parameters may be limited. To date, most boson-boson and boson-fermion mixtures in this context have been formed with atoms of the same element. Forming more complex molecules with multiple elements offers the prospect of adding an anisotropic electric dipole interaction into the mix, thereby opening up a number of applications in quantum information processing and metrology. Voigt et al. demonstrate the formation and trapping of ultracold diatomic heteronuclear molecules using 6Li and 40K fermionic atoms. Forming long-lived bosonic molecules from two fermionic species with such different masses offers a rich parameter space in which to study many-body correlated systems with asymmetric interactions. — ISO

Science•Jan 29, 2009•0 citations

Phases ofd-orbital bosons in optical lattices

Fernanda Pinheiro, Jani-Petri Matrikainen, Jonas Larson

We explore the properties of bosonic atoms loaded into the d bands of an isotropic square optical lattice. Following the recent experimental success reported in Zhai et al (2013 Phys. Rev. A 87 063638 ), in which populating d bands with a 99 fidelity was demonstrated, we present a theoretical study of the possible phases that can appear in this system. Using the Gutzwiller ansatz for the three d band orbitals we map the boundaries of the Mott insulating phases. For not too large occupation, two of the orbitals are predominantly occupied, while the third, of a slightly higher energy, remains almost unpopulated. In this regime, in the superfluid phase we find the formation of a vortex lattice, where the vortices come in vortex/anti-vortex pairs with two pairs locked to every site. Due to the orientation of the vortices time-reversal symmetry is spontaneously broken. This state also breaks a discrete -symmetry. We further derive an effective spin-1/2 model that describe the relevant physics of the lowest Mott-phase with unit filling. We argue that the corresponding two dimensional phase diagram should be rich with several different phases. We also explain how to generate anti-symmetric spin interactions that can give rise to novel effects like spin canting.

arXiv:1501.03514•New Journal of Physics•May 6, 2015•8 citations

Excitation of a d -Density Wave in an Optical Lattice with Driven Tunneling

Andreas Hemmerich, C. Morais Smith

Quantum phases with unusual symmetries may play a key role in the understanding of solid state systems at low temperatures. We propose a realistic scenario, well in reach of present experimental techniques, which should permit us to produce a stationary quantum state with d x2-y2 symmetry in a two-dimensional bosonic optical square lattice. This state, characterized by alternating rotational flux in each plaquette, arises from driven tunneling implemented by a stimulated Raman scattering process. We discuss bosons in a square lattice; however, more complex systems involving other lattice geometries appear possible.

arXiv:cond-mat/0703641•Physical Review Letters•Sep 13, 2007•17 citations

Simulating quantum-optical phenomena with optical lattices

Carlos Navarrete–Benlloch, Inés de Vega, Diego Porras +1 more

In this article we keep digging into the capabilities of optical lattices as simulators, showing how they can also be a powerful tool for simulating phenomena traditionally linked to quantum-optical systems (a study that we began in de Vega et al., (2008)). The basic idea consists of connecting an atomic state trapped in the optical lattice to a non trapped state through a Raman scheme. The coupling between these two types of atoms (trapped and free) turns out to be similar to that describing light-matter interaction within the rotating-wave approximation, the role of matter and photons being played by the trapped and free atoms, respectively.

Conference on Lasers and Electro-Optics Europe & European Quantum Electronics Conference (CLEO/Europe-EQEC)•May 1, 2011•0 citations

Frustration and time reversal symmetry breaking for a Bose-Fermi mixture

Krzysztof Sacha, Jakub Zakrzewski, Mark Kac

Cold atoms in optical lattices provide a unique medium for mimicking effects known from other areas of physics. This is primarily due to a great flexibility and a precise manipulation of the cold atomic system [1–3]. Atoms of a fermionic or bosonic character may be placed in an optical lattice potential whose geometry may be easily controlled by changing polarizations of laser beams. Interactions between atoms may be controlled via magnetic, optical or microwave Feshbach resonances [4, 5] as well as via changing the depth of the optical lattice. The latter modifies primarily the tunneling between lattice sites, enabling e.g. the superfluid-Mott insulator quantum phase transition in the optical realization of the Bose-Hubbard model as proposed by Jaksch and Zoller [6] and subse

•Dec 5, 2011•0 citations

Chiral Mott insulator with staggered loop currents in the fully frustrated Bose-Hubbard model

Arya Dhar, Tapan Mishra, Maheswar Maji +3 more

Motivated by experiments on Josephson junction arrays in a magnetic field and ultracold interacting atoms in an optical lattice in the presence of a ``synthetic'' orbital magnetic field, we study the ``fully frustrated'' Bose-Hubbard model and quantum $\mathrm{XY}$ model with half a flux quantum per lattice plaquette. Using Monte Carlo simulations and the density matrix renormalization group method, we show that these kinetically frustrated boson models admit three phases at integer filling: a weakly interacting chiral superfluid phase with staggered loop currents which spontaneously break time-reversal symmetry, a conventional Mott insulator at strong coupling, and a remarkable ``chiral Mott insulator'' (CMI) with staggered loop currents sandwiched between them at intermediate correlation. We discuss how the CMI state may be viewed as an exciton condensate or a vortex supersolid, study a Jastrow variational wave function which captures its correlations, present results for the boson momentum distribution across the phase diagram, and consider various experimental implications of our phase diagram. Finally, we consider generalizations to a staggered flux Bose-Hubbard model and a two-dimensional (2D) version of the CMI in weakly coupled ladders.

arXiv:1207.1725•Physical Review B•May 3, 2013•113 citations
Whereas the underlying parameters of condensed matter systems may be fixed, thereby limiting the phase space in which to vary the material properties, the ability to tune and manipulate atoms or molecules trapped in an optical lattice opens up that phase space. With success demonstrated already in systems with isotropic symmetry, as in the case of the superfluid-to-Mott-insulator transition of bosons on a square lattice, interest is now in describing systems with an anisotropic symmetry in the order parameter. Hemmerich and Morais Smith describe a scenario for imprinting a dx2-y2 wave symmetry onto an array of polarizable bosons confined to a two-dimensional (2D) optical lattice. They show theoretically that exciting the atoms by stimulated Raman scattering can result in the formation of a checkerboard-like pattern of staggered flux states on adjacent plaquettes of the 2D lattice, resulting in a d-wave momentum distribution. The proposed scenario offers the prospect of engineering optical lattices for the modeling of complex interacting phenomena from the likes of high-temperature superconductivity to magnetic frustration. — ISO
Cooling atoms, both bosons and fermions, to ultra-low temperatures has provided the opportunity to probe distinct quantum phases of matter. The ability to then trap these atoms, or even molecules, in optical lattices and tune the interactions between them presents the possibility of an ideal and clean quantum system that can act as a surrogate for complex condensed-matter systems in which the tuning parameters may be limited. To date, most boson-boson and boson-fermion mixtures in this context have been formed with atoms of the same element. Forming more complex molecules with multiple elements offers the prospect of adding an anisotropic electric dipole interaction into the mix, thereby opening up a number of applications in quantum information processing and metrology. Voigt et al. demonstrate the formation and trapping of ultracold diatomic heteronuclear molecules using 6Li and 40K fermionic atoms. Forming long-lived bosonic molecules from two fermionic species with such different masses offers a rich parameter space in which to study many-body correlated systems with asymmetric interactions. — ISO
We explore the properties of bosonic atoms loaded into the d bands of an isotropic square optical lattice. Following the recent experimental success reported in Zhai et al (2013 Phys. Rev. A 87 063638 ), in which populating d bands with a 99 fidelity was demonstrated, we present a theoretical study of the possible phases that can appear in this system. Using the Gutzwiller ansatz for the three d band orbitals we map the boundaries of the Mott insulating phases. For not too large occupation, two of the orbitals are predominantly occupied, while the third, of a slightly higher energy, remains almost unpopulated. In this regime, in the superfluid phase we find the formation of a vortex lattice, where the vortices come in vortex/anti-vortex pairs with two pairs locked to every site. Due to the orientation of the vortices time-reversal symmetry is spontaneously broken. This state also breaks a discrete -symmetry. We further derive an effective spin-1/2 model that describe the relevant physics of the lowest Mott-phase with unit filling. We argue that the corresponding two dimensional phase diagram should be rich with several different phases. We also explain how to generate anti-symmetric spin interactions that can give rise to novel effects like spin canting.
Quantum phases with unusual symmetries may play a key role in the understanding of solid state systems at low temperatures. We propose a realistic scenario, well in reach of present experimental techniques, which should permit us to produce a stationary quantum state with d x2-y2 symmetry in a two-dimensional bosonic optical square lattice. This state, characterized by alternating rotational flux in each plaquette, arises from driven tunneling implemented by a stimulated Raman scattering process. We discuss bosons in a square lattice; however, more complex systems involving other lattice geometries appear possible.
In this article we keep digging into the capabilities of optical lattices as simulators, showing how they can also be a powerful tool for simulating phenomena traditionally linked to quantum-optical systems (a study that we began in de Vega et al., (2008)). The basic idea consists of connecting an atomic state trapped in the optical lattice to a non trapped state through a Raman scheme. The coupling between these two types of atoms (trapped and free) turns out to be similar to that describing light-matter interaction within the rotating-wave approximation, the role of matter and photons being played by the trapped and free atoms, respectively.
Cold atoms in optical lattices provide a unique medium for mimicking effects known from other areas of physics. This is primarily due to a great flexibility and a precise manipulation of the cold atomic system [1–3]. Atoms of a fermionic or bosonic character may be placed in an optical lattice potential whose geometry may be easily controlled by changing polarizations of laser beams. Interactions between atoms may be controlled via magnetic, optical or microwave Feshbach resonances [4, 5] as well as via changing the depth of the optical lattice. The latter modifies primarily the tunneling between lattice sites, enabling e.g. the superfluid-Mott insulator quantum phase transition in the optical realization of the Bose-Hubbard model as proposed by Jaksch and Zoller [6] and subse
Motivated by experiments on Josephson junction arrays in a magnetic field and ultracold interacting atoms in an optical lattice in the presence of a ``synthetic'' orbital magnetic field, we study the ``fully frustrated'' Bose-Hubbard model and quantum XY\mathrm{XY}XY model with half a flux quantum per lattice plaquette. Using Monte Carlo simulations and the density matrix renormalization group method, we show that these kinetically frustrated boson models admit three phases at integer filling: a weakly interacting chiral superfluid phase with staggered loop currents which spontaneously break time-reversal symmetry, a conventional Mott insulator at strong coupling, and a remarkable ``chiral Mott insulator'' (CMI) with staggered loop currents sandwiched between them at intermediate correlation. We discuss how the CMI state may be viewed as an exciton condensate or a vortex supersolid, study a Jastrow variational wave function which captures its correlations, present results for the boson momentum distribution across the phase diagram, and consider various experimental implications of our phase diagram. Finally, we consider generalizations to a staggered flux Bose-Hubbard model and a two-dimensional (2D) version of the CMI in weakly coupled ladders.