Quantum simulators based on the global collective light-matter interaction

Caballero-Benítez, Santiago F.; Mazzucchi, Gabriel; Mekhov, Igor B.

doi:10.1103/physreva.93.063632

Cited by 38 publications

(71 citation statements)

References 119 publications

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“…Note that this expression is approximate and does not allow to describe the strong interacting limit where the atoms form a Mott insulator state. Despite of this limitation, the model we presented allows to describe interacting systems where synthetic interactions mediated by the light field couple different spatial modes [73].…”

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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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 above, loading an optical lattice inside a cavity allows to engineer effective synthetic manybody interactions between light induced atomic modes with an arbitrary spatial profile [14][15][16]. These interactions are mediated by the light field and do not depend on the nature of the atoms considered, making them extremely tunable and suitable for realising quantum simulations of effective many-body long-range Hamiltonians.…”

Section: Introductionmentioning

confidence: 99%

“…This can be realised as the cavity parameters (decay rates) and detunnings with respect the cavity modes can be externally modified with respect to the atomic system. Moreover, the spatial profile of the cavity modes can be designed depending on the geometry of the coherent light beams pumped into the high-Q cavity [16].…”

Section: Introductionmentioning

confidence: 99%

“…In this article we present how different arrangements involving multiple probes and/or multiple light modes configurations, lead to the competition of atypical quantum many-body phases via synthetic interactions. In the past, single cavity competition between typical SF and MI phases [29,30], density wave orders [14][15][16][31][32][33][34], and disorder [35] has been addressed. In contrast to other works, here we consider the interplay with what we call 'bond order' and other orders in the system.…”

Section: Introductionmentioning

confidence: 99%

“…This occurs when there is a large effective light-matter coupling relative to on-site interactions. In this limit, standard mean-field theory becomes unreliable as strong imbalanced configurations can occur and large on-site fluctuations take place due to the broken symmetry of the ground state [16]. As the interaction has a global character with non-trivial structure, and in fact is of infinite range, symmetries are broken even in 1D.…”

Section: Introductionmentioning

confidence: 99%

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Bond order via light-induced synthetic many-body interactions of ultracold atoms in optical lattices

Caballero-Benítez

Mekhov

2016

New J. Phys.

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We show how bond order emerges due to light mediated synthetic interactions in ultracold atoms in optical lattices in an optical cavity. This is a consequence of the competition between both short-and long-range interactions designed by choosing the optical geometry. Light induces effective many-body interactions that modify the landscape of quantum phases supported by the typical Bose-Hubbard model. Using exact diagonalization of small system sizes in one-dimension, we present the manybody quantum phases the system can support via the interplay between the density and bond (or matter-wave coherence) interactions. We find numerical evidence to support that dimer phases due to bond order are analogous to valence bond states. Different possibilities of light-induced atomic interactions are considered that go beyond the typical atomic system with dipolar and other intrinsic interactions. This will broaden the Hamiltonian toolbox available for quantum simulation of condensed matter physics via atomic systems. Figure 4. Panel (a) shows the system with ¹ J 0 D and J B =0, bond order is not supported only DW (insulator and SS), MI and SF. Panel (b) shows ¹ J 0 B and J D =0, DW and BI insulators are supported. SFD phase exists as intermediate phase between DW and SF for > g J 0 B eff 2 . Panel (c) shows ¹ J 0 B and ¹ J 0 c the system is in the MI for small t U 0 . The critical effective tunnellingFigure 5. Order parameters at half filling r = 1 2 for =  j J J B B , and =  j J J B eff 2 (a) and (d) J B =0, ¹ J 0; D (b) and (e) ¹ J 0 B , = J 0; D (c) and (f) ¹ J 0 B , ¹ J 0 D with = J J 0.25 B D .Figure 6. Panel (a) shows the system with ¹ J 0 D and J B =0, BI, SFD, DW, SS and SF are supported. Bond ordered states (BI) and SFD occur with partial matterwave coherence imbalance. Panel (b) shows ¹ J 0 B and J D =0 BI with coexisting DW is supported. The BI+DW has maximal matterwave phase difference in dimers. Panel (c) shows ¹ J 0 B and ¹ J 0 D with = J J 0.25 B D, the BI+DW insulator has maximal matter-wave coherence imbalance but no phase difference. The SFD in all panels has partial matter wave coherence imbalance between dimers. The intermediate SFD phase shrinks as the number of lattice sites N s increases. SS states in (a) and (c) have small density imbalance. Parameters in all panels are the same as in figure 5.

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Driven dissipative dynamics and topology of quantum impurity systems

Hur

Henriet

Herviou

et al. 2018

Comptes Rendus. Physique

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In this review, we provide an introduction and overview to some more recent advances in real-time dynamics of quantum impurity models and their realizations in quantum devices. We focus on the Ohmic spin-boson and related models, which describes a single spin-1/2 coupled to an infinite collection of harmonic oscillators. The topics are largely drawn from our efforts over the past years, but we also present a few novel results. In the first part of this review, we begin with a pedagogical introduction to the real-time dynamics of a dissipative spin at both high and low temperatures. We then focus on the driven dynamics in the quantum regime beyond the limit of weak spin-bath coupling. In these situations, the non-perturbative stochastic Schroedinger equation method is ideally suited to numerically obtain the spin dynamics as it can incorporate bias fields h z (t) of arbitrary time-dependence in the Hamiltonian. We present different recent applications of this method: (i) how topological properties of the spin such as the Berry curvature and the Chern number can be measured dynamically, and how dissipation affects the topology and the measurement protocol, (ii) how quantum spin chains can experience synchronization dynamics via coupling to a common bath. In the second part of this review, we discuss quantum engineering of spin-boson and related models in circuit quantum electrodynamics (cQED), quantum electrical circuits and cold-atoms architectures. In different realizations, the Ohmic environment can be represented by a long (microwave) transmission line, a Luttinger liquid, a one-dimensional Bose-Einstein condensate, a chain of superconducting Josephson junctions. We show that the quantum impurity can be used as a quantum sensor to detect properties of a bath at minimal coupling, and how dissipative spin dynamics can lead to new insight in the Mott-Superfluid transition.

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Quantum simulators based on the global collective light-matter interaction

Cited by 38 publications

References 119 publications

Collective dynamics of multimode bosonic systems induced by weak quantum measurement

Collective dynamics of multimode bosonic systems induced by weak quantum measurement

Bond order via light-induced synthetic many-body interactions of ultracold atoms in optical lattices

Driven dissipative dynamics and topology of quantum impurity systems

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