Effective quantum spin systems with trapped ions.

By Diego Porras, J. I. Cirac. Physical Review Letters, 2004

644 citations recorded by the source corpus.

We show that the physical system consisting of trapped ions interacting with lasers may undergo a rich variety of quantum phase transitions. By changing the laser intensities and polarizations the dynamics of the internal states of the ions can be controlled, in such a way that an Ising or Heisenberg-like interaction is induced between effective spins. Our scheme allows us to build an analogue quantum simulator of spin systems with trapped ions, and observe and analyze quantum phase transitions with unprecedented opportunities for the measurement and manipulation of spins.

Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics

View Paper: https://www.semanticscholar.org/paper/2d9fa4bd5f381ae3d1af3898b14faed7b1c6529b

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Citations in the corpus

Quasiparticle engineering and entanglement propagation in a quantum many-body system (2014, methodology): “[2] Porras, D.”
Quantum simulation of frustrated Ising spins with trapped ions (2010, positive): “As discussed in Methods, this allows quantum simulation of the Ising Hamiltonian with a transverse field 10–12 H ~ i v j J i , j s ( i ) x s ( j ) x z B y where B y is an effective uniform transverse magnetic field with each spinhavingunitmagneticmoment,andwehavesetPlanck’sconstant, h , equaltoone.”
Realizing the classical XY Hamiltonian in polariton simulators. (2016, positive): “Trapped ions were used to simulate Ising, XY, and XYZ interactions between effective spins [33].”
Quantum many‐body phenomena in coupled cavity arrays (2008, background): “Finally, theoretical proposals for using trapped ions for realising many-body models have been put forwarded [16, 17,18,19] and a first benchmark experiment in this direction has been reported recently [20].”
Quantum Simulation (2013, background): “…simulating quantum systems by quantum mechanical means is analog quantum simulation (AQS), in which one quantum system mimics (emulates) another (see, e.g., (Fischer and Schützhold, 2004; Manousakis, 2002; Porras and Cirac, 2004b; Smirnov et al., 2007; Wei and Xue, 1997; Zagoskin et al., 2007)).”
Simulating a quantum magnet with trapped ions (2008, positive): “We rotate both spins in a superposition state via an R(π/2,−π/2) pulse (see equation (2)) on the r.”