Creating collective many-body states with highly excited atoms

Abstract

We study the collective excitation of a gas of highly excited atoms confined to a large spacing ring lattice, where the ground and the excited states are coupled resonantly via a laser field. Our attention is focused on the regime where the interaction between the highly excited atoms is very weak in comparison to the Rabi frequency of the laser. We demonstrate that in this case the many-body excitations of the system can be expressed in terms of free spinless fermions. The complex many-particle states arising in this regime are characterized and their properties, e.g. their correlation functions, are studied. In addition we investigate how one can actually experimentally access some of these many-particle states by a temporal variation of the laser parameters.

10 pages, 7 figures

References in corpus (16)

• Many-Body Physics with Ultracold Gases
• A toolbox for lattice spin models with polar molecules
• Observation of Rydberg blockade between two atoms
• Demonstration of a neutral atom controlled-NOT quantum gate
• Observation of collective excitation of two individual atoms in the Rydberg blockade regime
• Entanglement of two individual neutral atoms using Rydberg blockade
• Evidence for coherent collective Rydberg excitation in the strong blockade regime
• Dynamical Crystallization in the Dipole Blockade of Ultracold Atoms
• Cold polar molecules in 2D traps: Tailoring interactions with external fields for novel quantum phases
• Quantum critical behavior in strongly interacting Rydberg gases
• Collective generation of quantum states of light by entangled atoms
• Optimizing number squeezing when splitting a mesoscopic condensate
• Two-dimensional array of microtraps with atomic shift register on a chip
• Fermionic collective excitations in a lattice gas of Rydberg atoms
• XY model on the circle: diagonalization, spectrum, and forerunners of the quantum phase transition
• Thermalization of a strongly interacting 1D Rydberg lattice gas

Cited by in corpus (17)

• Quantum information with Rydberg atoms
• Dynamical phases and intermittency of the dissipative quantum Ising model
• Many-body spin interactions and the ground state of a dense Rydberg lattice gas
• Finite-range interacting Ising quantum magnets with Rydberg atoms in optical lattices - From Rydberg superatoms to crystallization
• Liquid ground state, gap and excited states of a strongly correlated spin chain
• Two-dimensional Rydberg gases and the quantum hard squares model
• Adiabatic Formation of Rydberg Crystals with Chirped Laser Pulses
• Absorbing phase transition with a continuously varying exponent in a quantum contact process: a neural network approach
• Collective photon emission from symmetric states created with Rydberg atoms on a ring lattice
• Quantum principle of sensing gravitational waves: From the zero-point fluctuations to the cosmological stochastic background of spacetime
• Spectra and ground states of one- and two-dimensional laser-driven lattices of ultracold Rydberg atoms
• Symmetry breaking in linear multipole traps
• Universal time-evolution of a Rydberg lattice gas with perfect blockade
• Spectral properties of finite laser-driven lattices of ultracold Rydberg atoms
• Creation of collective many-body states and single photons from two-dimensional Rydberg lattice gases
• Rydberg rings
• On the existence of an energy gap in one-dimensional Lesanovsky's model