Energetically constrained co-tunneling of cold atoms

Kolovsky, Andrey R.; Link, Julia M.; Wimberger, Sandro

doi:10.1088/1367-2630/14/7/075002

Cited by 14 publications

(20 citation statements)

References 17 publications

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“…The simple visualization of the phenomenon and the high control of the fabricated structure make our photonic model system a very powerful tool to investigate exotic non-equilibrium phenomena associated to the formation of particle-bound states that are difficult to access or prepare in the matter. It is envisaged that our model system could offer the possibility to visualize other intriguing phenomena involving few correlated particles, such as the interplay between particle interaction and Anderson localization 35,36 , quantum billiards and transition to quantum chaos 23 , anyonic BO 37 , correlated barrier tunnelling and particle dissociation 38 .…”

Section: Discussionmentioning

confidence: 99%

Fractional Bloch oscillations in photonic lattices

et al. 2013

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Bloch oscillations, the oscillatory motion of a quantum particle in a periodic potential, are one of the most fascinating effects of coherent quantum transport. Originally studied in the context of electrons in crystals, Bloch oscillations manifest the wave nature of matter and are found in a wide variety of different physical systems. Here we report on the first experimental observation of fractional Bloch oscillations, using a photonic lattice as a model system of a two-particle extended Bose–Hubbard Hamiltonian. In our photonic simulator, the dynamics of two correlated particles hopping on a one-dimensional lattice is mapped into the motion of a single particle in a two-dimensional lattice with engineered defects and mimicked by light transport in a square waveguide lattice with a bent axis

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Section: Discussionmentioning

confidence: 99%

Fractional Bloch oscillations in photonic lattices

et al. 2013

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“…In the future, it is worthwhile to study the dynamics of the model [34,35]. In fact, the analogy of the model with some atomic physics problems can be generalized to the dynamics.…”

Section: Discussionmentioning

confidence: 99%

Bound states in the one-dimensional two-particle Hubbard model with an impurity

2013

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We investigate bound states in the one-dimensional two-particle Bose-Hubbard model with an attractive (V > 0) impurity potential. This is a one-dimensional, discrete analogy of the hydrogen negative ion H − problem. There are several different types of bound states in this system, each of which appears in a specific region. For given V , there exists a (positive) critical value Uc1 of U , below which the ground state is a bound state. Interestingly, close to the critical value (U Uc1), the ground state can be described by the Chandrasekhar-type variational wave function, which was initially proposed for H − . For U > Uc1, the ground state is no longer a bound state. However, there exists a second (larger) critical value Uc2 of U , above which a molecule-type bound state is established and stabilized by the repulsion. We have also tried to solve for the eigenstates of the model using the Bethe ansatz. The model possesses a global Z2-symmetry (parity) which allows classification of all eigenstates into even and odd ones. It is found that all states with odd-parity have the Bethe form, but none of the states in the even-parity sector. This allows us to identify analytically two odd-parity bound states, which appear in the parameter regions −2V < U < −V and −V < U < 0, respectively. Remarkably, the latter one can be embedded in the continuum spectrum with appropriate parameters. Moreover, in part of these regions, there exists an evenparity bound state accompanying the corresponding odd-parity bound state with almost the same energy.

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“…Long-time deviations from exponential decay in the tunneling dynamics of multiparticle systems have been studied in [16], and we shall focus on the short-time and exponential regime. Additional relevant works include studies of the fidelity decay in a multiparticle Loschmidt echo [17,18] and different scenarios of two-particle quantum decay [19][20][21][22][23]. The rest of the paper is organized as follows: in Sec.…”

Section: Introductionmentioning

confidence: 99%

Fidelity of fermionic-atom number states subjected to tunneling decay

2012

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Atom number states are a valuable resource for ultracold chemistry, atom interferometry, and quantum information processing. Recent experiments have achieved their deterministic preparation in trapped few-fermion systems. We analyze the tunneling decay of these states, in terms of both the survival probability and the nonescape probability, which can be extracted from measurements of the full counting statistics. At short times, both probabilities exhibit deviations from the exponential law. The decay is governed by the multiparticle Zeno time, which exhibits a signature of quantum statistics and contact interactions. The subsequent exponential regime governs most of the dynamics, and we provide accurate analytical expressions for the associated decay rates. Both dynamical regimes are illustrated in a realistic model. Finally, a global picture of multiparticle quantum decay is presented.

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Energetically constrained co-tunneling of cold atoms

Cited by 14 publications

References 17 publications

Fractional Bloch oscillations in photonic lattices

Fractional Bloch oscillations in photonic lattices

Bound states in the one-dimensional two-particle Hubbard model with an impurity

Fidelity of fermionic-atom number states subjected to tunneling decay

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