Atom state evolution and collapse in ultracold gases during light scattering into a cavity

Mekhov, Igor B.; Ritsch, Helmut

doi:10.1134/s1054660x11150163

Cited by 25 publications

(32 citation statements)

References 19 publications

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“…Here, we focus on a system dynamics during a single run of the optical measurement (i.e. the continuous detection of scattered photons), without taking the average (expectation values) over many realizations as we were doing so far [57][58][59][60]. Indeed, the result of a singlerun measurement is important, as it is the first result one obtains in an experiment before the averaging procedure.…”

Section: Single-run Measurements and Measurement-based Preparatiomentioning

confidence: 99%

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Quantum optics with ultracold quantum gases: towards the full quantum regime of the light–matter interaction

Mekhov¹,

Ritsch²

2012

J. Phys. B: At. Mol. Opt. Phys.

174

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Although the study of ultracold quantum gases trapped by light is a prominent direction of modern research, the quantum properties of light were widely neglected in this field. Quantum optics with quantum gases closes this gap and addresses phenomena, where the quantum statistical nature of both light and ultracold matter play equally important roles. First, light can serve as a quantum nondemolition (QND) probe of the quantum dynamics of various ultracold particles from ultracold atomic and molecular gases to nanoparticles and nanomechanical systems. Second, due to dynamic light-matter entanglement, projective measurement-based preparation of the many-body states is possible, where the class of emerging atomic states can be designed via optical geometry. Light scattering constitutes such a quantum measurement with controllable measurement back-action. As in cavity-based spin squeezing, atom number squeezed and Schrödinger cat states can be prepared. Third, trapping atoms inside an optical cavity one creates optical potentials and forces, which are not prescribed but quantized and dynamical variables themselves. Ultimately, cavity QED with quantum gases requires a self-consistent solution for light and particles, which enriches the picture of quantum many-body states of atoms trapped in quantum potentials. This will allow quantum simulations of phenomena related to the physics of phonons, polarons, polaritons and other quantum quasiparticles.

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Section: Single-run Measurements and Measurement-based Preparatiomentioning

confidence: 99%

“…Surprisingly, when δz < 1, the final collapse is even faster than √ τ , due to the discreteness of p(z, m, t) [60]. Measuring the photon number m and time t, one can determine z 1 of a quantum trajectory.…”

Section: A Measurement-induced Number Squeezingmentioning

confidence: 99%

Quantum optics with ultracold quantum gases: towards the full quantum regime of the light–matter interaction

Mekhov¹,

Ritsch²

2012

J. Phys. B: At. Mol. Opt. Phys.

174

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“…This can be achieved using traveling waves as mode functions for the probe and the cavity (i.e. ( ) · = u r e l k r i l ), where the wave vectors k 0 and k 1 are orthogonal, corresponding to the detection of the photons scattered in the diffraction minimum and the operator [66][67][68][69][70]. Alternatively, one can obtain the same spatial mode structure considering standing waves (i.e.…”

Section: Effective Dynamics Of the Macroscopic Spatial Modesmentioning

confidence: 99%

Collective dynamics of multimode bosonic systems induced by weak quantum measurement

et al. 2016

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In contrast to the fully projective limit of strong quantum measurement, where the evolution is locked to a small subspace (quantum Zeno dynamics), or even frozen completely (quantum Zeno effect), the weak non-projective measurement can effectively compete with standard unitary dynamics leading to nontrivial effects. Here we consider global weak measurement addressing collective variables, thus preserving quantum superpositions due to the lack of which path information. While for certainty we focus on ultracold atoms, the idea can be generalized to other multimode quantum systems, including various quantum emitters, optomechanical arrays, and purely photonic systems with multiple-path interferometers (photonic circuits). We show that light scattering from ultracold bosons in optical lattices can be used for defining macroscopically occupied spatial modes that exhibit long-range coherent dynamics. Even if the measurement strength remains constant, the quantum measurement backaction acts on the atomic ensemble quasi-periodically and induces collective oscillatory dynamics of all the atoms. We introduce an effective model for the evolution of the spatial modes and present an analytic solution showing that the quantum jumps drive the system away from its stable point. We confirm our finding describing the atomic observables in terms of stochastic differential equations.

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“…Uniting these fields [4,5] broadens both, and goes beyond the cases when either the light or matter are treated classically. Experimental [6][7][8][9][10][11] and theoretical works in this regime have revealed many interesting phenomena, such as the preparation of atomic states and dynamics [12][13][14][15][16][17][18][19], non-destructive measurement [20][21][22][23][24], many-body light-matter entanglement [23], self-organisation, and other new quantum phases [25][26][27][28][29][30][31][32][33][34][35][36].…”

Section: Introductionmentioning

confidence: 99%

Engineering many-body dynamics with quantum light potentials and measurements

Elliott

Mekhov

2016

Phys. Rev. A

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Interactions between many-body atomic systems in optical lattices and light in cavities induce long-range and correlated atomic dynamics beyond the standard Bose-Hubbard model, due to the global nature of the light modes. We characterise these processes, and show that uniting such phenomena with dynamical constraints enforced by the backaction resultant from strong light measurement leads to a synergy that enables the atomic dynamics to be tailored, based on the particular optical geometry, exploiting the additional structure imparted by the quantum light field. This leads to a range of novel, tunable effects such as long-range density-density interactions, perfectlycorrelated atomic tunnelling, superexchange, and effective pair processes. We further show that this provides a framework for enhancing quantum simulations to include such long-range and correlated processes, including reservoir models and dynamical global gauge fields.

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Atom state evolution and collapse in ultracold gases during light scattering into a cavity

Cited by 25 publications

References 19 publications

Quantum optics with ultracold quantum gases: towards the full quantum regime of the light–matter interaction

Quantum optics with ultracold quantum gases: towards the full quantum regime of the light–matter interaction

Collective dynamics of multimode bosonic systems induced by weak quantum measurement

Engineering many-body dynamics with quantum light potentials and measurements

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