Quantum Cohomology via Vicious and Osculating Walkers
... λ K ν/μ,λ m λ , where the sum is over all skew (semi-standard) tableaux and K ν/μ,λ is the ordinary Kostka number; see, e.g. [29]. Since for vanishing degree d the Gromov–Witten invariants equal the Littlewood–Richardson coefficients, one has sν/0/μ = sν/μ when d = 0. In the case of infinitely many ...
... λ K ν/μ,λ m λ , where the sum is over all skew (semi-standard) tableaux and K ν/μ,λ is the ordinary Kostka number; see, e.g. [29]. Since for vanishing degree d the Gromov–Witten invariants equal the Littlewood–Richardson coefficients, one has sν/0/μ = sν/μ when d = 0. In the case of infinitely many ...
BEC and Optical Lattices
... many particle bosonic systems by means of a macroscopic wavefunction at temperature T = 0. The two–particle interaction potential is approximated by a contact potential and characterized by the s–wave scattering length [24]. Depletion of the condensate [25], which becomes important in strongly inter ...
... many particle bosonic systems by means of a macroscopic wavefunction at temperature T = 0. The two–particle interaction potential is approximated by a contact potential and characterized by the s–wave scattering length [24]. Depletion of the condensate [25], which becomes important in strongly inter ...
Quantum Critical Systems from ADS/CFT
... systems in terms of classical gravity [4, 5, 6]. This duality maps some strongly interacting systems, which are difficult to study by conventional methods, to a classical gravity system, which is well-established as Einstein’s general theory of relativity. The gravity has one more dimension; this ex ...
... systems in terms of classical gravity [4, 5, 6]. This duality maps some strongly interacting systems, which are difficult to study by conventional methods, to a classical gravity system, which is well-established as Einstein’s general theory of relativity. The gravity has one more dimension; this ex ...
Lecture I: Collective Excitations: From Particles to Fields Free Scalar
... assume periodic boundary conditions (p.b.c.) xN +1 = N a + x1 (and set ẋn ≡ ∂t xn ) Using displacement from equilibrium φn = xn − x̄n L= ...
... assume periodic boundary conditions (p.b.c.) xN +1 = N a + x1 (and set ẋn ≡ ∂t xn ) Using displacement from equilibrium φn = xn − x̄n L= ...
Position-Momentum Duality and Fractional Quantum Hall
... The effects of topology and quantum geometry in condensed matter physics have recently garnered immense attention. With topological insulators and the quantum anomalous Hall effect constituting the well-understood case of non-interacting or weakly-correlated electron systems [1–3], the recent theore ...
... The effects of topology and quantum geometry in condensed matter physics have recently garnered immense attention. With topological insulators and the quantum anomalous Hall effect constituting the well-understood case of non-interacting or weakly-correlated electron systems [1–3], the recent theore ...
Th tical lifetime eore Positronium: A
... predicted the presence of a free particle with negative energy. This was considered a weakness of the equation as there was no explanation for negative energy free particles at the time. The rewriting of the relativistic equation by Paul Dirac in 1928 to account for the presence of spin [11] did not ...
... predicted the presence of a free particle with negative energy. This was considered a weakness of the equation as there was no explanation for negative energy free particles at the time. The rewriting of the relativistic equation by Paul Dirac in 1928 to account for the presence of spin [11] did not ...
The effects of disorder in strongly interacting quantum systems
... This thesis contains four studies of the e↵ects of disorder and randomness on strongly correlated quantum phases of matter. Starting with an itinerant ferromagnet, I first use an order-by-disorder approach to show that adding quenched charged disorder to the model generates new quantum fluctuations ...
... This thesis contains four studies of the e↵ects of disorder and randomness on strongly correlated quantum phases of matter. Starting with an itinerant ferromagnet, I first use an order-by-disorder approach to show that adding quenched charged disorder to the model generates new quantum fluctuations ...
Experimental Implementation of Adiabatic Passage between
... transitions (QPTs) [1–3]. The discovery of the fractional quantum Hall (FQH) effect [4] indicates the existence of an exotic state of matter termed topological orders [5], which are beyond the usual symmetry description. This type of order has some interesting properties, such as robust ground state ...
... transitions (QPTs) [1–3]. The discovery of the fractional quantum Hall (FQH) effect [4] indicates the existence of an exotic state of matter termed topological orders [5], which are beyond the usual symmetry description. This type of order has some interesting properties, such as robust ground state ...
Non-perturbative Quantum Electrodynamics in low
... best verified experimentally, among all gauge theories, so that it may appear as thoroughly understood. To put it into perspective, this impression is only justified if the perturbative behaviour of the theory is considered in 3 + 1 dimensions. Incidentaly, non-perturbative questions remain to be an ...
... best verified experimentally, among all gauge theories, so that it may appear as thoroughly understood. To put it into perspective, this impression is only justified if the perturbative behaviour of the theory is considered in 3 + 1 dimensions. Incidentaly, non-perturbative questions remain to be an ...
Kondo screening in high-spin side-coupled two
... is effectively lifted [1, 2, 3, 4, 5, 6, 7]. When the separation between two such impurities is small, the impurities interact through the RKKY interaction [8], which may lead to critical behaviour in some parameter regimes [9, 10]. A simplified description of such systems is the two-impurity Kondo ...
... is effectively lifted [1, 2, 3, 4, 5, 6, 7]. When the separation between two such impurities is small, the impurities interact through the RKKY interaction [8], which may lead to critical behaviour in some parameter regimes [9, 10]. A simplified description of such systems is the two-impurity Kondo ...
Charge and spin quantum fluids generated by many
... is used in Ref. [22] in the construction of a theory for evaluation of finite-energy fewelectron spectral functions. That theory is applied in Refs. [3,23] to the study of the finiteenergy one-electron spectral properties of low-dimensional materials, as further discussed in Section 5. The paper is ...
... is used in Ref. [22] in the construction of a theory for evaluation of finite-energy fewelectron spectral functions. That theory is applied in Refs. [3,23] to the study of the finiteenergy one-electron spectral properties of low-dimensional materials, as further discussed in Section 5. The paper is ...
Entanglement with Negative Wigner Function of Almost 3000 Atoms
... Wigner function are however manifestly non-classical, since the Wigner function as a quasiprobability function must remain non-negative in the classical realm. Whereas before this work a negative Wigner function had not been attained for atomic ensembles, in the optical domain, a negative-valued Wig ...
... Wigner function are however manifestly non-classical, since the Wigner function as a quasiprobability function must remain non-negative in the classical realm. Whereas before this work a negative Wigner function had not been attained for atomic ensembles, in the optical domain, a negative-valued Wig ...
Spin Foam Models for Quantum Gravity
... Quantum gravity, the theory expected to reconcile the principles of quantum mechanics and general relativity, remains a major challenge in theoretical physics (for a review of the history of quantum gravity see [1]). The main lesson of general relativity is that, unlike in any other interaction, spa ...
... Quantum gravity, the theory expected to reconcile the principles of quantum mechanics and general relativity, remains a major challenge in theoretical physics (for a review of the history of quantum gravity see [1]). The main lesson of general relativity is that, unlike in any other interaction, spa ...
Ground-state stability and criticality of two-electron atoms
... Weakly bound systems represent an interesting field of research in atomic and molecular physics. The behavior of systems near a binding threshold is important in the study of ionization of atoms and molecules, molecule dissociation, and scattering collisions. Since the pioneering works of Bethe [1] ...
... Weakly bound systems represent an interesting field of research in atomic and molecular physics. The behavior of systems near a binding threshold is important in the study of ionization of atoms and molecules, molecule dissociation, and scattering collisions. Since the pioneering works of Bethe [1] ...
introduction to quantum field theory
... described by some sort of field theory. Almost all systems in nature involve an extremely large number of degrees of freedom. For instance, a droplet of water contains of the order of 1026 molecules and while each water molecule can in many applications be described as a point particle, each molecul ...
... described by some sort of field theory. Almost all systems in nature involve an extremely large number of degrees of freedom. For instance, a droplet of water contains of the order of 1026 molecules and while each water molecule can in many applications be described as a point particle, each molecul ...
Part II Applications of Quantum Mechanics Lent 2012
... If V is symmetric then V commutes with the parity operator P f (x) = f (−x): [P, V ] = 0 and hence so does the Hamiltionian H = p2 /2m + V (x): [P, H] = 0, and the eigenstates of H, including the scattering states discussed here, can be chosen as simultaneous eigenstate of H and P . The eigenvalues ...
... If V is symmetric then V commutes with the parity operator P f (x) = f (−x): [P, V ] = 0 and hence so does the Hamiltionian H = p2 /2m + V (x): [P, H] = 0, and the eigenstates of H, including the scattering states discussed here, can be chosen as simultaneous eigenstate of H and P . The eigenvalues ...
... molecules can be slowed down using carefully tuned electromagnetic fields and eventually even be trapped. Once molecules can be precisely controled, it becomes possible to perform experiments on them which, combined with detailed theoretical models, can give insight into their dynamics on a fundamen ...
The Haldane-charge conjecture
... a spin-singlet pseudospin N/2 operator which governs the low-energy properties of the model in the vicinity of the SU(2)c line for attractive interactions. This operator gives rise to a Haldane-charge conjecture with the emergence of a HI phase when N is even, while a metallic phase is stabilized wh ...
... a spin-singlet pseudospin N/2 operator which governs the low-energy properties of the model in the vicinity of the SU(2)c line for attractive interactions. This operator gives rise to a Haldane-charge conjecture with the emergence of a HI phase when N is even, while a metallic phase is stabilized wh ...
Decoherence in Solid State Qubits
... object with itself, as the case of an electron through a double slit, predict that a system composed by two quantum subsystems can be in a state that has no classical counterpart, being a superposition with a precise phase of two or more quantum states of the whole system. This property of quantum s ...
... object with itself, as the case of an electron through a double slit, predict that a system composed by two quantum subsystems can be in a state that has no classical counterpart, being a superposition with a precise phase of two or more quantum states of the whole system. This property of quantum s ...
