Quantum phase transitions for two coupled cavities with dipole-interaction atoms

Tan, Lei; Zhang, Yuqing; Liu, Wu-Ming

doi:10.1103/physreva.84.063816

Cited by 14 publications

(10 citation statements)

References 57 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Recent discussion on bistable behaviour of BEC-optomechanical system 15 , high fidelity state transfer 16 17 , entanglement in optomechanics 18 19 20 21 , macroscopic tunneling of an optomechanical membrane 22 and role reversal between matter-wave and quantized light field, are directing and facilitating researchers towards achieving new mile-stones in cavity-optomechanics. Furthermore, the magnificent work on transparency in optomechanics 23 24 25 26 , dynamical localization in field of cavity-optomechanics 27 28 and the coupled arrays of micro-cavities 29 30 31 32 provide clear understanding for cavity-optomechanics. These notable achievements provide strong foundations to study complex systems and cause curiosity among researchers to explore such hybrid systems and so, a lot of work has been done in this regard 33 34 35 36 37 .…”

mentioning

confidence: 99%

Tunable Bistability in Hybrid Bose-Einstein Condensate Optomechanics

Yasir

Liu

2015

Sci Rep

Self Cite

View full text Add to dashboard Cite

Cavity-optomechanics, a rapidly developing area of research, has made a remarkable progress. A stunning manifestation of optomechanical phenomena is in exploiting the mechanical effects of light to couple the optical degree of freedom with mechanical degree of freedom. In this report, we investigate the controlled bistable dynamics of such hybrid optomechanical system composed of cigar-shaped Bose-Einstein condensate (BEC) trapped inside high-finesse optical cavity with one moving-end mirror and is driven by a single mode optical field. The numerical results provide evidence for controlled optical bistability in optomechanics using transverse optical field which directly interacts with atoms causing the coupling of transverse field with momentum side modes, exited by intra-cavity field. This technique of transverse field coupling is also used to control bistable dynamics of both moving-end mirror and BEC. The report provides an understanding of temporal dynamics of moving-end mirror and BEC with respect to transverse field. Moreover, dependence of effective potential of the system on transverse field has also been discussed. To observe this phenomena in laboratory, we have suggested a certain set of experimental parameters. These findings provide a platform to investigate the tunable behavior of novel phenomenon like electromagnetically induced transparency and entanglement in hybrid systems.

show abstract

mentioning

confidence: 99%

Tunable Bistability in Hybrid Bose-Einstein Condensate Optomechanics

Yasir

Liu

2015

Sci Rep

Self Cite

View full text Add to dashboard Cite

show abstract

“…The main message contained in the table 1 is that it is not possible to simulate the frustrated spin system using (2) in one-dimension (see also [63]). In section 5 we will show, how this limitation can be circumvented in two-dimensions by exploiting the properties of the at dw term (8).…”

Section: D: Exact Solution Of the Spin Modelmentioning

confidence: 99%

“…Equipped with the necessary notions, we return back to the example of the ground state (24) 8 . In order to find the structure of the ground state corresponding to a given excitation number sector N exc , we need to enumerate the number of the sets θ and how many elements belong to each of the set.…”

Section: Definitionmentioning

confidence: 99%

“…In section 3 we have shown, that in one-dimension it is not possible to obtain the effective spin Hamiltonian (5) with frustrated interactions 0 l > . The aim of this section is to show that this limitation can be circumvented in two-dimensions by exploiting the properties of the dw term (8).…”

Section: Towards Simulation Of Frustrated Spin Systems In Cavity Arraysmentioning

confidence: 99%

“…In this context, the use of cavities plays a prominent role as the strong confinement of the electromagnetic field implies strong interaction with matter coupled to the cavity modes. In particular, it offers possibilities to realize and study a plethora of quantum light-matter many-body Hamiltonians such as the so-called Jaynes-Cummings-Hubbard or Rabi-Hubbard models [1][2][3][4][5][6][7][8][9][10][11], or quantum fluids of light, where the effective interaction between light fields is mediated by a nonlinear medium [12][13][14]. This offers ways to study various physical phenomena such as excitation propagation in chiral networks [15][16][17], the physics of spin glasses [18][19][20] and quantum Hopfield networks [21,22], self-organization of the atomic motion in optical cavities [23][24][25][26][27] or quantum phase transitions in arrays of nanocavity quantum dots [28] and in Coulomb crystals [29].…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Effective spin physics in two-dimensional cavity QED arrays

et al. 2017

View full text Add to dashboard Cite

We investigate a strongly correlated system of light and matter in two-dimensional cavity arrays. We formulate a multimode Tavis-Cummings (TC) Hamiltonian for two-level atoms coupled to cavity modes and driven by an external laser field which reduces to an effective spin Hamiltonian in the dispersive regime. In one-dimension we provide an exact analytical solution. In two-dimensions, we perform mean-field study and large scale quantum Monte Carlo simulations of both the TC and the effective spin models. We discuss the phase diagram and the parameter regime which gives rise to frustrated interactions between the spins. We provide a quantitative description of the phase transitions and correlation properties featured by the system and we discuss graph-theoretical properties of the ground states in terms of graph colourings using Pólya's enumeration theorem.

show abstract

Quantum Phase Transition of Polaritonic Excitations in a Multi-Excitation Coupled Array

Shen

Chen

et al. 2017

Int J Theor Phys

View full text Add to dashboard Cite

We analyze the quantum phase transition-like behavior in the lowest energy state of a two-site coupled atom-cavity system, where each cavity contains one atom but the total excitation number is not limited to two. Utilizing the variance of the total excitation number to distinguish the insulator and superfluid states, and the variance of the atomic excitation number to identify the polaritonic characteristics of these states, we find that the total excitation number plays a significant role in the lowest-energy-state phase transitions. In both the small hopping regime and the small atomfield interaction regime, we identify an interesting coexisting phase involving characteristics of both photonic superfluid and atomic insulator. For small hopping, we find that the signature of the photonic superfluid state becomes more pronounced with the increase in total excitation number, and that the boundaries of the various phases shift with respect to the case of N = 2. In the limit of small atom-field interaction, the polaritonic superfluid region becomes broader as the total excitation number increases. We demonstrate that the variance of the total excitation number in a single site has a linear dependence on the total excitation number in the large-detuning limit.

show abstract

Quantum phase transitions for two coupled cavities with dipole-interaction atoms

Cited by 14 publications

References 57 publications

Tunable Bistability in Hybrid Bose-Einstein Condensate Optomechanics

Tunable Bistability in Hybrid Bose-Einstein Condensate Optomechanics

Effective spin physics in two-dimensional cavity QED arrays

Quantum Phase Transition of Polaritonic Excitations in a Multi-Excitation Coupled Array

Contact Info

Product

Resources

About