Quantum interference and decoherence in hexagonal antidot lattices

The Altshuler–Aronov–Spivak (AAS) oscillations and the Aharonov–Bohm (AB) type oscillations both at low and high magnetic fields were observed in hexagonal antidot lattices fabricated from a GaAs/AlGaAs two-dimensional electron gas sample. The periodicities in the magnetic field and in the gate bias voltage, of the high field AB oscillation furnish information on the edge states localized around the antidots. The temperature dependences of these quantum oscillations are studied.     

Tunneling from a Quantum Black Hole

A quantum black hole has been presented by Kenmoku et al. (1998), and its surface gravity is divergent. We find that its tunneling probability is essentially different from Boltzmann distribution. It is interesting that two peaks appears in the spectrum when the black hole mass decreases close to Planck mass, which is different from black body radiation. PACS: 04.70.Dy     

Non-Stationary Spin-Polarized Tunneling through a Quantum Dot Coupled to Noncollinearly Polarized Ferromagnetic Leads

JETP Letters - Non-stationary spin-dependent transport through the interacting single-level quantum dot coupled to ferromagnetic leads with non-collinear magnetizations has been analyzed...     

Quantum coherent versus classical coherent light

The paper shows that the Wigner distribution function of quantum optical coherent states, or of a superposition of such states, can be produced and measured with a classical optical set-up using classical coherent light fields. This measurement cannot be done directly in quantum optics since the quantum phase space variables correspond to non-commuting operators. As an example, the Wigner distribution function of Schrödinger cat states of light has been measured. It is also shown that the possibility of measuring the Wigner distribution function of quantum coherent states with classical coherent fields is unique in the sense that it cannot be extended to other quantum states, not even to the incoherent limit of the superposition of coherent states.     

Transient coherent emission from a dressed molecule

Exact fourth virial coeficients have been computed for inverse power potentials over the full range of powers which allow thermodynamic stability. Values are given for the exact virial coefficient, together with those from the Percus-Yevick, hypernetted chain and thermodynamically self-consistent approximations. Comparisons show that the thermodynamically self-consistent approximation gives a good account of the variation of the fourth virial coefficient over the full range of inverse powers. A new consistency condition is defined using the pair and triplet direct correlation function, and is shown to be well satisfied by the thermodynamically self-consistent approximation.     

Quantum Tunneling on Graphs

We explore the tunneling behavior of a quantum particle on a finite graph in the presence of an asymptotically large potential with two or three potential wells. The behavior of the particle is primarily governed by the local spectral symmetry of the graph around the wells. In the case of two wells the behavior is stable in the sense that it can be predicted from a sufficiently large neighborhood of the wells. However in the case of three wells we are able to exhibit examples where the tunneling behavior can be changed significantly by perturbing the graph arbitrarily far from the wells.     

Quantum hall effect in an antidot lattice: Macroscopic limit

The quantum Hall effect in a 2D system with antidots is studied. The antidots are assumed to be large compared with the quantum and relaxation lengths. In this approximation the electric field in the system can be described by the continuity equation. It is found that the electric field in a system without conducting boundaries can be expressed in terms of the same system without a magnetic field. Specific problems of the electric field and current in structures containing one or two antidots and in a circular disk with point contacts are solved. The effective Hall and longitudinal conductivities in a sample containing a large number of randomly distributed antidots are found. In the limit of zero local longitudinal conductivity, the effective longitudinal conductivity also vanishes, and the Hall conductivity is equal to the local conductivity. The corrections to the conductivity tensor which are due to the finiteness of the local conductivity are obtained. Breakdown of the quantum Hall effect in a lattice of antidots is studied on the basis of the assumption that a high current density in narrow locations of the system results in overheating of the electrons. Local and nonlocal models of over-heating are studied. The high-frequency effective conductivity of a system with antidots and the shift of the cyclotron resonance frequency are found.     

Quantum coherent control of the vibrational dynamics of a polyatomic molecule using adaptive feedback control of a femtosecond laser

We simulate adaptive feedback control to coherently shape a femtosecond infrared laser pulse by means of a 4f-spatial light modulator in order to selectively excite the rovibrational modes of a polyatomic molecule. We preferentially populate an arbitrarily chosen upper rovibrational level by only employing these tailored temporally shaped pulses. A second laser would then allow for mode selective chemistry to interact selectively with the excited population. Alternatively the excited molecules enhanced reactivity could be exploited for selective chemistry.     

Quantum quench in one dimension: coherent inhomogeneity amplification and "supersolitons"

We study a quantum quench in a 1D system possessing Luttinger liquid (LL) and Mott insulating ground states before and after the quench, respectively. We show that the quench induces power law amplification in time of any particle density inhomogeneity in the initial LL ground state. The scaling exponent is set by the fractionalization of the LL quasiparticle number relative to the insulator. As an illustration, we consider the traveling density waves launched from an initial localized density bump. While these waves exhibit a particular rigid shape, their amplitudes grow without bound.     

Tunneling through a disordered potential barrier

Tunnelling through a weakly disordered potential barrier is studied analytically. A perturbative approach is developed to calculate all statistical moments of the tunnelling transmission coefficient, and its probability distribution function. It is shown that on average disorder enhances the tunnelling conductance, resistance, and the coherent component of the transmitted field.On leave from the Institute of Low-Temperature Physics and Engineering, Kharkov 310164, Ukraine.     

Quantum antidot as an electrometer:Observation of fractional charge

In experiments on resonant tunneling through a quantum antidot in the quantum Hall (QH) regime, we observe periodic conductance peaks both versus magnetic field and a global gate voltage, i.e., electric field. Each conductance peak can be attributed to tunneling through a quantized antidot-bound state. The fact that the variation of the uniform electric field produces conductance peaks implies that the deficiency of the electrical charge on the antidot is quantized in units of charge of quasiparticles of surrounding QH condensate. The period in magnetic field gives the effective area of the antidot state through which tunneling occurs, the period in electric field (obtained from the global gate voltage) then constitutes a direct measurement of the charge of the tunneling particles. We obtain electron charge C in the integer QH regime, and quasiparticle charge C for the QH state.     

Quantum and classical binomial distributions for the charge transmitted through coherent conductor

We discuss controversial results for the statistics of charge transport through coherent conductors. Two distribution functions for the charge transmitted was obtained previously, one actually coincides with classical binomial distribution, the other is different, and we call it here quantum binomial distribution. We show that high-order charge correlators, determined by the either distribution functions, all can be measured in different setups. The high-order current correlators, starting with the third order, reveal (missed in previous studies) special oscillating frequency dependence on the scale of the inverted time flight from the obstacle to the measuring point. Depending on setup, the oscillating terms give substantially different contributions.     

Balance Equations for Quantum Tunneling

We have established a set of balance equations to demonstrate the hot electron effect in the quantum tunneling processes by using the well-known effective tunneling Hamiltonian model. The high field effects both in reservoirs and in barrier region are discussed in detail. We also find a new field-dependent characteristic time due to nonequilibrium of reservoirs (the left-and right-sides of the barrier region) in the double-barrier structure.     

Photon Induced Tunneling Oscillations in a Double Quantum Well

Tunneling oscillations induced in a double quantum well by a monochromatic electromagnetic wave incident perpendicularly to the plane of the well, and polarized along the direction of its growth, are treated. For the wave frequency in proximity to the energy difference between two states of opposite symmetry, a periodic energy exchange between the wave and a carrier which moves from one energy state to the other is established. When the carrier starts from the low energy level it borrows energy from the wave until it reaches the higher energy state. On its way the carrier performs current oscillations that cease whenever it reaches an eigenstate. Similarly, oscillation is required during the carrier's motion from the high to the low energy state for the photon emission in order that the radiation gets back the energy already given to the carrier. Thus an accelerating charge not only radiates, but also absorbs wave energy. When there prevails a considerable population difference between the two levels the possibility of quantum beat exits.     

Quantum coherent operators: A generalization of coherent states

We introduce a technique to compare different, but related, quantum systems, thereby generalizing the way that coherent states are used to compare quantum systems to classical systems in semiclassical analysis. We then use this technique to estimate the dependence of the free energy of the quantum Heisenberg model on the spin value, and to estimate the relation between the ferromagnetic and antiferromagnetic free energies.Work supported in part by the U.S. National Science Foundation grant PHY-9019433.Work supported in part by the U.S. National Science Foundation grant DMS-9002416.     

Quantum Tunneling Time: Relativistic Extensions

Several years ago, in quantum mechanics, Davies proposed a method to calculate particle’s traveling time with the phase difference of wave function. The method is convenient for calculating the sojourn time inside a potential step and the tunneling time through a potential hill. We extend Davies’ non-relativistic calculation to relativistic quantum mechanics, with and without particle-antiparticle creation, using Klein–Gordon equation and Dirac Equation, for different forms of energy-momentum relation. The extension is successful only when the particle and antiparticle creation/annihilation effect is negligible.     

Tunneling times through a barrier with inelasticity

Tunneling delay times of wavepackets in quantum mechanical penetration of rectangular barriers have long been known to show a perplexing independence with respect to the width of the barrier. This also has relevance to the transmission of evanescent waves in optics. Some authors have claimed that in the presence of absorption or inelastic channels (which they model by taking a complex barrier potential) this effect no longer exists, in that the time delay becomes proportional to the barrier width. Taking the point of view that complex potentials imply non-Hermitian Hamiltonians and are as such fraught with conceptual pit-falls particularly in connection to problems involving time evolution, we have constructed a two-channel model which does not suffer from such limitations in order to examine this issue. We find that the conclusions arrived at by the earlier authors need to be more precisely specified.     

Phonon-Assisted Tunneling Current in a Double-Barrier Heterostructure with a Quantum Well

Journal of Russian Laser Research - Based on a quantum-mechanical model with a non-Hermitian Hamiltonian, we theoretically describe the tunneling current in a heterostructure containing a quantum...     

Quantum Tunneling in an Order-Parameter-Preserving Antiferromagnet

We have studied quantum tunneling in an order-parameter-preserving antiferromagnet with the help of Holstein-Primakoff transformation. It is found that, when the system being prepared in a coherent state, there exist the quantum tunneling between lattices k and k+1, k and k−1, respectively. In particular, when the lattice is infinitely long and the spin excitations are in the long-wavelength limit, quantum tunneling disappear between lattices k and k+1, and that k and k−1, in this case the magnetic soliton appears.